Works (84)

Updated: April 4th, 2024 14:15

2023 journal article

A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension

MATHEMATICAL BIOSCIENCES, 364.

By: M. Miller n, N. Johnston n, I. Livengood n, M. Spinelli n, R. Sazdanovic n & M. Olufsen n

author keywords: Pulmonary hypertension; Vascular remodeling; Image segmentation; Tree pruning; Strahler order; Persistent homology; Topological data analysis; TDA
TL;DR: This study analyzes the change in pulmonary arterial morphometry in the presence of HPH using novel methods from topological data analysis (TDA) and finds that HPH trees are stiffer than control trees but have more branches and a higher depth. (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: Web Of Science, ORCID
Added: January 2, 2024

2023 article

Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category

Khovanov, M., & Sazdanovic, R. (2023, October 19). FUNDAMENTA MATHEMATICAE, Vol. 10.

By: M. Khovanov* & R. Sazdanovic n

author keywords: Deligne category; cobordisms; partition category
Sources: Web Of Science, ORCID
Added: November 6, 2023

2023 journal article

On the strength of chromatic symmetric homology for graphs

ADVANCES IN APPLIED MATHEMATICS, 150.

By: A. Chandler*, R. Sazdanovic n, S. Stella* & M. Yip*

author keywords: Chromatic symmetric function; Categorification
Sources: Web Of Science, ORCID
Added: July 24, 2023

2022 journal article

<p>A broken circuit model for chromatic homology theories</p>

EUROPEAN JOURNAL OF COMBINATORICS, 104.

By: A. Chandler* & R. Sazdanovic n

Sources: Web Of Science, ORCID
Added: June 6, 2022

2022 article

Big data approaches to knot theory: Understanding the structure of the Jones polynomial

Levitt, J. S. F., Hajij, M., & Sazdanovic, R. (2022, November 28). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 11.

By: J. Levitt, M. Hajij & R. Sazdanovic n

author keywords: Knot invariants; knot polynomials; Jones polynomial; signature; topological data analysis; PCA; filtered PCA; data analysis
TL;DR: A method for using filtrations to analyze infinite data sets where representative sampling is impossible or impractical, an essential requirement for working with knots and the data from knot invariants is introduced. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: December 19, 2022

2022 article

Extremal Khovanov homology and the girth of a knot

Sazdanovic, R., & Scofield, D. (2022, October 31). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 10.

By: R. Sazdanovic n & D. Scofield*

author keywords: Categorification; chromatic graph homology; Jones polynomial; Khovanov homology
Sources: Web Of Science, ORCID
Added: November 14, 2022

2022 chapter

Local Versus Global Distances for Zigzag and Multi-Parameter Persistence Modules

In Association for Women in Mathematics Series.

By: E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Source: ORCID
Added: January 28, 2024

2022 journal article

TAaCGH Suite for Detecting Cancer-Specific Copy Number Changes Using Topological Signatures

ENTROPY, 24(7).

author keywords: breast cancer molecular subtypes; genomics; topological data analysis; CNA copy number aberrations; lifespan curves; Betti curves; persistence landscapes
TL;DR: This study identified new cytobands associated with three of the major molecular subtypes of breast cancer: Luminal A, Luminal B, Basal and HER2 positive and suggests a complementary approach using a suite of persistence curves. (via Semantic Scholar)
UN Sustainable Development Goal Categories
Sources: ORCID, Web Of Science
Added: July 4, 2022

2021 journal article

Diagrammatic categorification of the Chebyshev polynomials of the second kind

Journal of Pure and Applied Algebra, 225(6), 1006592.

By: M. Khovanov* & R. Sazdanovic n

author keywords: Categorification; Chebyshev polynomilals; Quantum algebra
Sources: Web Of Science, ORCID
Added: February 8, 2021

2021 journal article

Diagrammatic categorification of the Chebyshev polynomials of the second kind

Journal of Pure and Applied Algebra, 225(6), 106592.

By: M. Khovanov* & R. Sazdanovic n

Source: ORCID
Added: February 10, 2021

2021 chapter

Encyclopedia of Knot Theory

In Chapman and Hall/CRC.

By: C. Adams, E. Flapan, A. Henrich, L. Kauffman, L. Ludwig & S. Nelson*

Source: ORCID
Added: January 28, 2024

2021 journal article

Khovanov homology detects the figure‐eight knot

Bulletin of the London Mathematical Society, 53(3), 871–876.

By: J. Baldwin*, N. Dowlin*, A. Levine*, T. Lidman n & R. Sazdanovic n

author keywords: 57K18; 57K10 (primary)
Sources: Crossref, ORCID, Web Of Science
Added: February 12, 2021

2021 chapter

Mathematics and Art: Unifying Perspectives

In B. Sriraman (Ed.), Handbook of the Mathematics of the Arts and Sciences (pp. 497–525).

By: H. Russell & R. Sazdanovic

Ed(s): B. Sriraman

UN Sustainable Development Goal Categories
4. Quality Education (OpenAlex)
Sources: NC State University Libraries, ORCID
Added: September 23, 2022

2021 chapter

On Khovanov Homology and Related Invariants

In Association for Women in Mathematics Series.

By: C. Caprau*, N. González*, C. Lee*, A. Lowrance*, R. Sazdanović n & M. Zhang*

Source: ORCID
Added: January 28, 2024

2021 article

Preface

Dabkowski, M. K., Harizanov, V., Kauffman, L. H., Przytycki, J. H., Sazdanovic, R., & Sikora, A. (2021, December). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 30.

By: M. Dabkowski, V. Harizanov*, L. Kauffman*, J. Przytycki*, R. Sazdanovic n & A. Sikora*

Sources: Web Of Science, ORCID
Added: May 2, 2022

2021 journal article

Torsion in the magnitude homology of graphs

JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 16(2), 275–296.

By: R. Sazdanovic n & V. Summers*

author keywords: Categorification; Magnitude of a graph; Magnitude homology
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
5. Gender Equality (Web of Science)
Sources: Web Of Science, ORCID
Added: May 24, 2021

2021 journal article

Torsion in thin regions of Khovanov homology

Canadian Journal of Mathematics, 74(3), 1–27.

By: A. Chandler*, A. Lowrance, R. Sazdanović* & V. Summers

author keywords: Knot; Khovanov homology; homologically thin
Sources: Web Of Science, Crossref, ORCID
Added: February 12, 2021

2021 chapter

Visualizations and visual thinking in mathematics

In E. Fiorentini & J. Elinks (Eds.), On visualization: A multicentric critique beyond inforgraphics. Münster, Germany: LIT Verlag.

By: R. Sazdanovic

Ed(s): E. Fiorentini & J. Elinks

Source: NC State University Libraries
Added: February 20, 2021

2020 report

Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category

(ArXiv No. 2007.11640).

By: M. Khovanov & R. Sazdanovic

Source: NC State University Libraries
Added: March 15, 2021

2020 report

Extremal Khovanov homology and the girth of a knot

(ArXiv No. 2003.05074).

By: R. Sazdanovic & D. Scofield

Source: NC State University Libraries
Added: March 15, 2021

2020 chapter

Khovanov Link Homology

In C. Adams, E. Flapan, A. Henrich, L. H. Kauffman, L. D. Ludwig, & S. Nelson (Eds.), Encyclopedia of Knot Theory (pp. Chapter 70). Chapman & Hall.

By: R. Sazdanovic

Ed(s): C. Adams, E. Flapan, A. Henrich, L. Kauffman, L. Ludwig & S. Nelson

Source: NC State University Libraries
Added: September 23, 2022

2020 conference paper

On Khovanov Homology and Related Invariants

Proceedings of the Research Collaboration Conference of the Women in Symplectic and Contact Geometry and Topology. Springer.

By: C. Caprau, N. Gonzalez, C. Lee, A. Lowrance, R. Sazdanovic & M. Zhang

Source: NC State University Libraries
Added: April 24, 2021

2020 journal article

On homotopy types of Vietoris–Rips complexes of metric gluings

Journal of Applied and Computational Topology, 4(3), 425–454.

By: M. Adamaszek, H. Adams*, E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

Sources: Crossref, ORCID
Added: February 13, 2021

2020 chapter

Prediction in Cancer Genomics Using Topological Signatures and Machine Learning

In Topological Data Analysis (pp. 247–276).

By: G. Gonzalez*, A. Ushakova*, R. Sazdanovic n & J. Arsuaga*

TL;DR: The method identified 4p, 6p and 16q as the strongest predictors correctly classifying 76% of ER positives in the authors' validation data set, however, for this set there was a significant increase in the false positive rate (specificity). (via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being (OpenAlex)
Sources: Crossref, ORCID
Added: February 13, 2021

2019 report

A Broken Circuit Model for Chromatic Homology Theories

(Arxiv No. 1911.13226).

By: A. Chandler & R. Sazdanovic

Source: NC State University Libraries
Added: February 20, 2021

2019 article

Knots, low-dimensional topology and applications Preface

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, October). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 28.

By: C. Adams, C. Gordon, V. Jones, L. Kauffman, S. Lambropoulou, K. Millett, J. Przytycki, R. Ricca, R. Sazdanovic

Sources: Web Of Science, ORCID
Added: December 30, 2019

2019 article

Knots, low-dimensional topology and applications Preface

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, November). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 28.

By: C. Adams, C. Gordon, V. Jones, L. Kauffman, S. Lambropoulou, K. Millett, J. Przytycki, R. Ricca, R. Sazdanovic

Sources: Web Of Science, ORCID
Added: March 30, 2020

2019 report

Local Versus Global Distances for Zigzag Persistence Modules

(ArXiv No. 1903.08298).

By: E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, L. Ziegelmeier

Source: NC State University Libraries
Added: February 20, 2021

2019 journal article

On configuration spaces and simplicial complexes

New York J. Math, 25, 723–744.

By: A. Cooper, V. Silva & R. Sazdanovic

Source: ORCID
Added: February 10, 2021

2019 report

On the Strength of Chromatic Symmetric Homology for graphs

(ArXiv No. 1911.13297).

By: A. Chandler, R. Sazdanovic, S. Stella & M. Yip

Source: NC State University Libraries
Added: February 20, 2021

2019 journal article

Psyquandles, Singular Knots and Pseudoknots

TOKYO JOURNAL OF MATHEMATICS, 42(2), 405–429.

By: S. Nelson, N. Oyamaguchi & R. Sazdanovic*

author keywords: Biquandles; singular knots and links; spatial graphs; 2-bouquet graphs; pseudoknots; psyquandles; counting invariants; Alexander-Grobner invariants; Jablan polynomial
Sources: Web Of Science, ORCID
Added: September 28, 2020

2019 journal article

The relationship between the intrinsic Čech and persistence distortion distances for metric graphs

By: E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

TL;DR: The main theorem establishes an inequality between the intrinsic Cech and persistence distortion distances in the case when one of the graphs is a bouquet graph and the other is arbitrary. (via Semantic Scholar)
UN Sustainable Development Goal Categories
10. Reduced Inequalities (OpenAlex)
Source: ORCID
Added: January 28, 2024

2019 journal article

The relationship between the intrinsic Čech and persistence distortion distances for metric graphs

Journal of Computational Geometry, 10(1), 477–499.

By: E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, L. Ziegelmeier

Source: NC State University Libraries
Added: February 20, 2021

2019 report

Torsion in the Magnitude homology of graphs

(ArXiv No. 1912.13483).

By: R. Sazdanovic & V. Summers

Source: NC State University Libraries
Added: February 20, 2021

2018 article

A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs

Research in Computational Topology, pp. 33–56.

By: E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

Source: ORCID
Added: February 10, 2021

2018 journal article

A categorification of the chromatic symmetric function

Journal of Combinatorial Theory, Series A, 154, 218–246.

By: R. Sazdanovic n & M. Yip*

author keywords: Symmetric functions; Chromatic polynomial; Khovanov homology; Representations; Frobenius series; Graph coloring
TL;DR: The ideas of Khovanov homology are applied to construct a homology of graded S_n-modules, whose graded Frobenius series $Frob_G(q,t)$ reduces to the chromatic symmetric function at $q=t=1$. (via Semantic Scholar)
UN Sustainable Development Goal Categories
4. Quality Education (Web of Science)
Sources: Web Of Science, ORCID, Crossref
Added: August 6, 2018

2018 article

Khovanov homology and torsion

NEW DIRECTIONS IN GEOMETRIC AND APPLIED KNOT THEORY, pp. 125–137.

By: R. Sazdanovic

author keywords: Knot theory; Jones polynomial; Khovanov homology; torsion; categorification
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Sources: Web Of Science, ORCID
Added: July 8, 2019

2018 journal article

Patterns in Khovanov link and chromatic graph homology

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 27(3).

By: R. Sazdanovic n & D. Scofield n

Contributors: R. Sazdanovic n & D. Scofield n

author keywords: Categorification; chromatic graph homology; Jones polynomial; Khovanov homology
Sources: Web Of Science, ORCID
Added: August 6, 2018

2018 journal article

Special Issue - Devoted to the 60th birthday of J. H. Przytycki; Guest Editors: M. K. Dabkowski, V. Harizanov, L. H. Kauffman, J. H. Przytycki, R. Sazdanovic and A. Sikora Preface

Journal of Knot Theory and Its Ramifications, 27(3).

By: M. Dabkowski, V. Harizanov, L. Kauffman, J. Przytycki, R. Sazdanovic & A. Sikora

Source: NC State University Libraries
Added: August 6, 2018

2018 conference paper

Vietoris-rips and čech complexes of metric gluings

Leibniz International Proceedings in Informatics, LIPIcs, 99, 32–315.

By: M. Adamaszek*, H. Adams*, E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

Contributors: M. Adamaszek*, H. Adams*, E. Gasparovic*, M. Gommel*, E. Purvine*, R. Sazdanovic n, B. Wang*, Y. Wang*, L. Ziegelmeier*

TL;DR: The homotopy type of the Vietoris-Rips complex of two metric graphs glued together along a sufficiently short path is deduced and described to describe the persistent homology, in all homological dimensions, of the Vietnam-Rip complexes of a wide class of metric graphs. (via Semantic Scholar)
Source: ORCID
Added: February 10, 2021

2018 conference paper

Vietoris–Rips and Cech Complexes of Metric Gluings

In B. Speckmann & C. D. Toth (Eds.), 34th International Symposium on Computational Geometry (SoCG 2018) (pp. 218–246). Wadern, Germany: Wadern Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH.

By: M. Adamaszek, H. Adams, E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, L. Ziegelmeier

Ed(s): B. Speckmann & C. Toth

Event: 34th International Symposium on Computational Geometry

Source: NC State University Libraries
Added: February 20, 2021

2017 journal article

Chromatic homology, Khovanov homology, and torsion

TOPOLOGY AND ITS APPLICATIONS, 222, 77–99.

By: A. Lowrance* & R. Sazdanovic n

author keywords: Knots; Spectral sequence; Khovanov homology; Chromatic polynomial; Categorification; Torsion
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 conference paper

A topological collapse for document summarization

2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), 2016-August.

By: H. Guan*, W. Tang*, H. Krim*, J. Keiser, A. Rindos* & R. Sazdanovic n

Contributors: H. Guan*, W. Tang*, H. Krim*, J. Keiser, A. Rindos* & R. Sazdanovic n

TL;DR: DoCollapse is proposed, a topological collapse-based unsupervised keyphrase extraction method that relies on networking document by semantic relatedness of candidate keyphrases to facilitate final keyphrase selection. (via Semantic Scholar)
Sources: NC State University Libraries, ORCID
Added: August 6, 2018

2016 article

From Conway Notation to LinKnot

KNOT THEORY AND ITS APPLICATIONS, Vol. 670, pp. 63–92.

By: S. Jablan & R. Sazdanovic*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Plaited polyhedra: A knot theory point of view

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9).

By: L. Radovic*, P. Gerdes*, S. Jablan & R. Sazdanovic n

Contributors: L. Radović*, P. Gerdes*, S. Jablan & R. Sazdanovic n

author keywords: Plaited polyhedra; schlegel diagram; basic polyhedra; knots; links; conway notation
UN Sustainable Development Goal Categories
Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 article

Remembering Slavik Jablan

Kauffman, L. H., Lambropoulou, S., & Sazdanovic, R. (2016, August). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 25.

By: L. Kauffman*, S. Lambropoulou* & R. Sazdanovic n

Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 article

Remembrance Slavik Jablan (1952-2015)

Sazdanovic, R., Kauffman, L. H., & Radovic, L. (2016, August). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 25.

By: R. Sazdanovic n, L. Kauffman* & L. Radovic*

Sources: Web Of Science, ORCID
Added: August 6, 2018

2016 journal article

Unknotting and maximum unknotting numbers

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9).

By: A. Zekovic*, S. Jablan*, L. Kauffman*, R. Sazdanovic n & M. Stosic

Contributors: A. Zeković*, S. Jablan*, L. Kauffman*, R. Sazdanovic n & M. Stošić

author keywords: Unknotting number; unlinking number; Conway notation; maximum unknotting number
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 conference paper

A Categorification of One-Variable Polynomials

Discrete Mathematics and Theoretical Computer Science, 937–948.

By: M. Khovanov & R. Sazdanovic

Event: 27th International Conference on Formal Power Series and Algebraic Combinatorics at Daejeon, South Korea

Source: NC State University Libraries
Added: March 12, 2021

2015 conference paper

A categorification of the chromatic symmetric polynomial

Discrete Mathematics and Theoretical Computer Science, 631–642.

By: R. Sazdanovic & M. Yip

Event: 27th International Conference on Formal Power Series and Algebraic Combinatorics at Daejeon, South Korea

Source: NC State University Libraries
Added: March 12, 2021

2015 journal article

Categorifications of the polynomial ring

FUNDAMENTA MATHEMATICAE, 230(3), 251–280.

By: M. Khovanov* & R. Sazdanovic n

author keywords: categorification; Bernstein-Gelfand-Gelfand reciprocity; polynomial ring
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 article

In Memoriam: Slavik Jablan 1952-2015 Obituary

Crowe, D., Darvas, G., Huylebrouck, D., Kappraff, J., Kauffman, L., Lambropoulou, S., … Zekovic, A. (2015, September). SYMMETRY-BASEL, Vol. 7, pp. 1261–1274.

By: D. Crowe*, G. Darvas, D. Huylebrouck*, J. Kappraff*, L. Kauffman*, S. Lambropoulou*, J. Przytycki*, L. Radovic ...

author keywords: symmetry; multiple antisymmetry; ethnomathematics; knot theory; Conway notation; link families; visual mathematics; modularity; unknotting number
TL;DR: After a long and brave battle with a serious illness, Slavik Jablan passed away on 26 February 2015. (via Semantic Scholar)
Sources: Web Of Science, ORCID
Added: August 6, 2018

2014 journal article

Torsion in Khovanov homology of semi-adequate links

FUNDAMENTA MATHEMATICAE, 225(1), 277–303.

By: J. Przytycki* & R. Sazdanovic n

author keywords: Khovanov homology; torsion; chromatic graph homology; adequate links
Sources: Web Of Science, ORCID
Added: August 6, 2018

2013 journal article

REDUCED RELATIVE TUTTE, KAUFFMAN BRACKET AND JONES POLYNOMIALS OF VIRTUAL LINK FAMILIES

Journal of Knot Theory and Its Ramifications, 22(04), 1340003.

By: L. Kauffman*, S. Jablan, L. Radović* & R. Sazdanović*

Contributors: L. Kauffman*, S. Jablan, L. Radović* & R. Sazdanović*

author keywords: Conway notation; virtual knot; Tutte polynomial; Bollobas-Riordan polynomial; relative Tutte polynomial; reduced relative Tutte polynomial; Jones polynomial; Kauffman bracket polynomial; link family
Source: ORCID
Added: February 10, 2021

2013 article

Simplicial Models and Topological Inference in Biological Systems

Nanda, V., & Sazdanović, R. (2013, October 10). Discrete and Topological Models in Molecular Biology, pp. 109–141.

By: V. Nanda* & R. Sazdanović n

TL;DR: This article begins with the combinatorics and geometry of simplicial complexes and outline the standard techniques for imposing filtered simplicial structures on a general class of datasets, and computes topological statistics of the original data via the algebraic theory of (persistent) homology. (via Semantic Scholar)
Source: ORCID
Added: February 10, 2021

2012 conference paper

Diagrammatic knot properties and invariants

Introductory lectures on knot theory : selected lectures presented at the Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP, Trieste, Italy, 11-29 May 2009, 162–186. Singapore: World Scientific.

By: S. Jablan & R. Sazdanovic

Event: Advanced School and Conference on Knot Theory and Its Applications to Physics and Biology, ICTP at Trieste, Italy on May 11-29, 2009

Source: NC State University Libraries
Added: February 20, 2021

2012 journal article

Diagrammatics in Art and Mathematics

Symmetry, 4(2), 285–301.

By: R. Sazdanovic*

author keywords: diagrams; categorification; mathematics; art; constructivism; knots; polynomials; symmetry; tessellations; quantum
TL;DR: A collection of vignettes illustrates connection points, including visualizing higher dimensions, tessellations, knots and links, plotting zeros of polynomials, and new and rapidly developing mathematical discipline, diagrammatic categorification. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: February 13, 2021

2012 book

Experience-centered approach and Visuality in the Education of Mathematics and Physics

Kaposvar: Kaposvar University.

Radmila Sazdanovic

Ed(s): R. Sazdanovic, J. Barallo, M. Budin, A. Durity, K. Fenyvesi, S. Jablan, A. Takacs, L. Radovic, E. Stettner

Source: NC State University Libraries
Added: March 15, 2021

2012 conference paper

Fisheye View of Tessellations

Bridges: Mathematical Connections in Art, Music and Science, 361–364.

By: R. Sazdanovic

Event: Bridges Conference at Towson University, Baltimore, Maryland on July 25-29, 2012

Source: NC State University Libraries
Added: March 15, 2021

2012 journal article

Graph homology and graph configuration spaces

Journal of Homotopy and Related Structures, 7(2), 223–235.

By: V. Baranovsky* & R. Sazdanovic*

author keywords: Configuration spaces; Spectral sequence; Homological perturbation
Sources: Crossref, ORCID
Added: August 28, 2020

2012 journal article

Knots and links in architecture

Pollack Periodica, 7(Supplement 1), 65–76.

By: S. Jablan, L. Radović & R. Sazdanović*

TL;DR: Several ways of obtaining 4-valent polyhedral graphs and their corresponding knots and links from basic polyhedra are described: mid-edge construction, cross-curve and double-line covering, and edge doubling construction. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: February 12, 2021

2012 journal article

Knots in Art

Symmetry, 4(2), 302–328.

By: S. Jablan, L. Radović*, R. Sazdanović* & A. Zeković*

author keywords: knot; link; plait; mirror-curve; decorative knot; polyhedral knot
TL;DR: This work proposes different methods for generating knots and links based on geometric polyhedra, suitable for applications in architecture and sculpture. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Crossref, ORCID
Added: February 12, 2021

2012 journal article

Mirror-curves and knot mosaics

Computers & Mathematics with Applications, 64(4), 527–543.

By: S. Jablan, L. Radović*, R. Sazdanović* & A. Zeković

author keywords: Knot; Mirror-curve; Knot mosaic; Grid diagram; Kauffman bracket polynomial; L-polynomial
TL;DR: Codes for mirror-curves treated as knot or link diagrams placed in rectangular square grids, suitable for software implementation are introduced. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: December 21, 2020

2011 article

DIAGRAMMATIC KNOT PROPERTIES AND INVARIANTS

Jablan, S. V., & Sazdanović, R. (2011, September). Introductory Lectures on Knot Theory, pp. 162–186.

By: S. Jablan & R. Sazdanović*

Source: ORCID
Added: February 10, 2021

2011 journal article

Knots and links derived from prismatic graphs

Match, 66(1), 65–92. http://www.scopus.com/inward/record.url?eid=2-s2.0-80155214125&partnerID=MN8TOARS

By: S. Jablan, L. Radovi? & R. Sazdanovi?

Contributors: S. Jablan, L. Radović & R. Sazdanović

Source: ORCID
Added: February 10, 2021

2011 journal article

Nonplanar graphs derived from Gauss codes of virtual knots and links

Journal of Mathematical Chemistry, 49(10), 2250–2267.

By: S. Jablan, L. Radović* & R. Sazdanović*

author keywords: Knot; Link; Nonplanar graph; Virtual knot theory; Gauss code
TL;DR: This paper analyzes nonplanarity of graphs obtained from Gauss codes of virtual knots and links and their potential applications in chemistry. (via Semantic Scholar)
Sources: Crossref, ORCID
Added: December 21, 2020

2011 journal article

Pyramidal knots and links and their invariants

Match, 65(3), 541–580. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051537311&partnerID=MN8TOARS

By: S. Jablan, L. Radovi? & R. Sazdanovi?

Contributors: S. Jablan, L. Radović & R. Sazdanović

Source: ORCID
Added: February 10, 2021

2010 thesis

Categorification of Knot and Graph Polynomials and the Polynomial Ring, Electronic dissertation published by ProQuest

http://surveyor.gelman.gwu.edu/.

By: R. Sazdanović

Source: ORCID
Added: February 10, 2021

2010 journal article

Tutte and Jones polynomials of links, polyominoes and graphical recombination patterns

Journal of Mathematical Chemistry, 49(1), 79–94.

By: S. Jablan, L. Radović* & R. Sazdanović*

author keywords: Knot; Link; Tait graph; Middle graph; Polyiamond; Polyomino; Polyhex; Tutte polynomial; Jones polynomial; Polymer
Sources: Crossref, ORCID
Added: December 21, 2020

2008 journal article

BRAID FAMILY REPRESENTATIVES

Journal of Knot Theory and Its Ramifications, 17(07), 817–833.

By: S. Jablan & R. Sazdanović*

Contributors: S. Jablan & R. Sazdanović*

author keywords: Conway notation; minimum braid; reduced braid word; braid family representative
Source: ORCID
Added: February 10, 2021

2008 journal article

On the first group of the chromatic cohomology of graphs

Geometriae Dedicata, 140(1), 19–48.

By: M. Pabiniak*, J. Przytycki* & R. Sazdanović*

author keywords: Chromatic graph cohomology; Khovanov homology; Hochschild homology; Torsion; Codichromatic graphs
Sources: Crossref, ORCID
Added: December 21, 2020

2007 journal article

Knots, Links, and Self-avoiding Curves

Forma, 22(1), 5–13.

By: S. Jablan & R. Sazdanović

Source: ORCID
Added: February 10, 2021

2007 book

Linknot - Knot Theory by Computer

In Series on Knots and Everything.

By: S. Jablan & R. Sazdanović*

TL;DR: This paper discusses the chirality of KLs by Polynomial Invariants, and the history of Knot Theory and Its Applications, and its Applications Mirror Curves KLs and Fullerenes KLsand Mathematical Logic Self-Referential Systems KL Automata. (via Semantic Scholar)
Source: ORCID
Added: February 10, 2021

2007 journal article

UNLINKING NUMBER AND UNLINKING GAP

Journal of Knot Theory and Its Ramifications, 16(10), 1331–1355.

By: S. Jablan & R. Sazdanović*

Contributors: S. Jablan & R. Sazdanović*

author keywords: unknotting number; unlinking number; unknotting gap; unlinking gap; rational knot; pretzel knot; Conway notation; n-move
TL;DR: BJ-unlinking number is defined and recall Bernhard–Jablan conjecture stating that the classical unknotting/unl linking number is equal to the BJ-unLinking number, and families of rational links with arbitrarily large BJ- unlinking gap are proposed. (via Semantic Scholar)
Source: ORCID
Added: February 10, 2021

2005 journal article

Basic Polyhedra in Knot Theory

Kragujevac Journal of Mathematics, 28 , 155–164.

Radmila Sazdanovic

Source: ORCID
Added: February 10, 2021

2004 journal article

Discovering symmetry of knots by using program LinKnot

The Journal of ISIS-Symmetry, 1-4, 102–106.

By: S. Jablan & R. Sazdanovic

Source: ORCID
Added: February 10, 2021

2004 journal article

Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices

Forma, 19(4), 367–387.

By: J. Kappraff, S. Jablan, G. Adamson & R. Sazdanović

Source: ORCID
Added: February 10, 2021

2004 journal article

Hyperbolic Tessellations by tess

Symmetry: Art and Science (The Quarterly of ISIS Symmetry), 1–4 226–229.

By: R. Sazdanovic & M. Sremcević

Source: ORCID
Added: February 10, 2021

2004 conference paper

Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical and Theoretical Considerations, Bridges

Mathematical Connections in Art, Music and Science, Conference Proceedings, 281–293.

By: R. Sarhangi, S. Jablan & R. Sazdanovic

Source: ORCID
Added: February 10, 2021

2004 journal article

Visualizing symmetry of knots by using program LinKnot, Symmetry: Art and Science

The Journal of ISIS-Symmetry, 1-4, 106–110.

By: S. Jablan & R. Sazdanovic

Source: ORCID
Added: February 10, 2021

2002 journal article

Computer Sculpture: A Journey Through Mathematics,Bridges: Mathematical Connections in Art

Music and Science, Conference Proceedings, 54.

By: J. Barrallo & R. Sazdanovic

Source: ORCID
Added: February 10, 2021

2002 journal article

Tessellations of the Euclidean, Elliptic and Hyperbolic Plane, Symmetry

Art and Science, 2, 229–304.

By: R. Sazdanovic & M. Sremcevic

Source: ORCID
Added: February 10, 2021

journal article

BASIC POLYHEDRA IN KNOT THEORY

Jablan, S. V., Radovic, L. M., & Sazdanovic, R. KRAGUJEVAC JOURNAL OF MATHEMATICS, 28, {155–164}.

By: S. Jablan, L. Radovic & R. Sazdanovic

Event: at PO BOX 60, RADOJA DOMANOVICA 12, KRAGUJEVAC 34000, SERBIA

Source: ORCID
Added: February 10, 2021

report

Big Data approaches to knot theory: Understanding the structure of the Jones polynomial

Levitt, J. S., Hajij, M., & Sazdanovic, R. (ArXiv No. 1912.10086).

By: J. Levitt, M. Hajij & R. Sazdanovic

Source: NC State University Libraries
Added: February 20, 2021

Employment

Updated: January 28th, 2024 05:26

NC State University Raleigh, NC, US
Associate Professor Mathematics

Funding History

Funding history based on the linked ORCID record. Updated: January 28th, 2024 08:22

grant March 15, 2020 - February 28, 2023
Expanding Research and Professional Opportunities for Early-Career Female Mathematicians
Directorate for Mathematical & Physical Sciences
grant September 1, 2019 - August 1, 2024
Khovanov-Type Theories: Structure and Relations
Simons Foundation
grant July 1, 2019 - June 30, 2024
Collaborative Research: Computational Topology and Categorification of Cancer Genomic Data: Theory and Algorithms
Directorate for Mathematical & Physical Sciences
grant July 1, 2016 - June 30, 2017
International Conference on Knots, Low-Dimensional Topology, and Applications
Directorate for Mathematical & Physical Sciences
grant September 1, 2015 - August 31, 2019
Knots in Washington XLI: a Conference Series on Knot Theory and its Ramifications; November 13-15, 2015
Directorate for Mathematical & Physical Sciences

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