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.
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)
doi.org (publisher)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(OpenAlex)
Sources: Web Of Science, NC State University Libraries
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.
author keywords: Deligne category; cobordisms; partition category
Sources: Web Of Science, ORCID, NC State University Libraries
Added: November 6, 2023
2023 journal article
On the strength of chromatic symmetric homology for graphs
ADVANCES IN APPLIED MATHEMATICS, 150.
author keywords: Chromatic symmetric function; Categorification
Sources: Web Of Science, ORCID, NC State University Libraries
Added: July 24, 2023
2022 journal article
<p>A broken circuit model for chromatic homology theories</p>
EUROPEAN JOURNAL OF COMBINATORICS, 104.
Sources: Web Of Science, ORCID, NC State University Libraries
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.
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, NC State University Libraries
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.
author keywords: Categorification; chromatic graph homology; Jones polynomial; Khovanov homology
Sources: Web Of Science, ORCID, NC State University Libraries
Added: November 14, 2022
2022 chapter
Local Versus Global Distances for Zigzag and Multi-Parameter Persistence Modules
In Association for Women in Mathematics Series.
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
3. Good Health and Well-being
(Web of Science)
Sources: ORCID, Web Of Science, NC State University Libraries
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.
author keywords: Categorification; Chebyshev polynomilals; Quantum algebra
Sources: Web Of Science, NC State University Libraries
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.
Source: ORCID
Added: February 10, 2021
2021 chapter
Encyclopedia of Knot Theory
In Chapman and Hall/CRC.
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.
author keywords: 57K18; 57K10 (primary)
Sources: Crossref, NC State University Libraries, 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).
Ed(s): B. Sriraman
UN Sustainable Development Goal Categories
4. Quality Education
(OpenAlex)
Sources: NC State University Libraries, NC State University Libraries
Added: September 23, 2022
2021 chapter
On Khovanov Homology and Related Invariants
In Association for Women in Mathematics Series.
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.
Sources: Web Of Science, NC State University Libraries
Added: May 2, 2022
2021 journal article
Torsion in the magnitude homology of graphs
JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 16(2), 275–296.
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, NC State University Libraries
Added: May 24, 2021
2021 journal article
Torsion in thin regions of Khovanov homology
Canadian Journal of Mathematics, 74(3), 1–27.
author keywords: Knot; Khovanov homology; homologically thin
Sources: Web Of Science, Crossref, NC State University Libraries
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.
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).
Source: NC State University Libraries
Added: March 15, 2021
2020 report
Extremal Khovanov homology and the girth of a knot
(ArXiv No. 2003.05074).
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.
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.
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.
Sources: Crossref, NC State University Libraries
Added: February 13, 2021
2020 chapter
Prediction in Cancer Genomics Using Topological Signatures and Machine Learning
In Topological Data Analysis (pp. 247–276).
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, NC State University Libraries
Added: February 13, 2021
2019 report
A Broken Circuit Model for Chromatic Homology Theories
(Arxiv No. 1911.13226).
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.
Sources: Web Of Science, NC State University Libraries
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.
Sources: Web Of Science, NC State University Libraries
Added: March 30, 2020
2019 report
Local Versus Global Distances for Zigzag Persistence Modules
(ArXiv No. 1903.08298).
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.
Source: ORCID
Added: February 10, 2021
2019 report
On the Strength of Chromatic Symmetric Homology for graphs
(ArXiv No. 1911.13297).
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.
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, NC State University Libraries
Added: September 28, 2020
2019 journal article
The relationship between the intrinsic Čech and persistence distortion distances for metric graphs
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.
Source: NC State University Libraries
Added: February 20, 2021
2019 report
Torsion in the Magnitude homology of graphs
(ArXiv No. 1912.13483).
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.
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.
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, NC State University Libraries, Crossref
Added: August 6, 2018
2018 article
Khovanov homology and torsion
NEW DIRECTIONS IN GEOMETRIC AND APPLIED KNOT THEORY, pp. 125–137.
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, NC State University Libraries
Added: July 8, 2019
2018 journal article
Patterns in Khovanov link and chromatic graph homology
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 27(3).
Contributors: n & D. Scofield n
author keywords: Categorification; chromatic graph homology; Jones polynomial; Khovanov homology
Sources: Web Of Science, ORCID, NC State University Libraries
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).
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.
Contributors: M. Adamaszek*, H. Adams *, E. Gasparovic *, M. Gommel*, E. Purvine *, 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.
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.
author keywords: Knots; Spectral sequence; Khovanov homology; Chromatic polynomial; Categorification; Torsion
Sources: Web Of Science, ORCID, NC State University Libraries
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.
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, NC State University Libraries
Added: August 6, 2018
2016 article
From Conway Notation to LinKnot
KNOT THEORY AND ITS APPLICATIONS, Vol. 670, pp. 63–92.
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2016 journal article
Plaited polyhedra: A knot theory point of view
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9).
Contributors: L. Radović *, P. Gerdes*, S. Jablan & n
author keywords: Plaited polyhedra; schlegel diagram; basic polyhedra; knots; links; conway notation
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, ORCID, NC State University Libraries
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.
Sources: Web Of Science, NC State University Libraries
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.
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2016 journal article
Unknotting and maximum unknotting numbers
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9).
Contributors: A. Zeković *, S. Jablan*, L. Kauffman *, n & M. Stošić
author keywords: Unknotting number; unlinking number; Conway notation; maximum unknotting number
Sources: Web Of Science, ORCID, NC State University Libraries
Added: August 6, 2018
2015 conference paper
A Categorification of One-Variable Polynomials
Discrete Mathematics and Theoretical Computer Science, 937–948.
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.
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.
author keywords: categorification; Bernstein-Gelfand-Gelfand reciprocity; polynomial ring
Sources: Web Of Science, ORCID, NC State University Libraries
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.
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)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018
2014 journal article
Torsion in Khovanov homology of semi-adequate links
FUNDAMENTA MATHEMATICAE, 225(1), 277–303.
author keywords: Khovanov homology; torsion; chromatic graph homology; adequate links
Sources: Web Of Science, ORCID, NC State University Libraries
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.
Contributors: L. Kauffman *, S. Jablan, L. Radović * & *
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.
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.
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.
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, NC State University Libraries
Added: February 13, 2021
2012 book
Experience-centered approach and Visuality in the Education of Mathematics and Physics
Kaposvar: Kaposvar University.
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.
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.
author keywords: Configuration spaces; Spectral sequence; Homological perturbation
Sources: Crossref, ORCID, NC State University Libraries
Added: August 28, 2020
2012 journal article
Knots and links in architecture
Pollack Periodica, 7(Supplement 1), 65–76.
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, NC State University Libraries
Added: February 12, 2021
2012 journal article
Knots in Art
Symmetry, 4(2), 302–328.
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, NC State University Libraries
Added: February 12, 2021
2012 journal article
Mirror-curves and knot mosaics
Computers & Mathematics with Applications, 64(4), 527–543.
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, NC State University Libraries
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.
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
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.
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, NC State University Libraries
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
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/.
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.
author keywords: Knot; Link; Tait graph; Middle graph; Polyiamond; Polyomino; Polyhex; Tutte polynomial; Jones polynomial; Polymer
Sources: Crossref, NC State University Libraries
Added: December 21, 2020
2008 journal article
BRAID FAMILY REPRESENTATIVES
Journal of Knot Theory and Its Ramifications, 17(07), 817–833.
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.
author keywords: Chromatic graph cohomology; Khovanov homology; Hochschild homology; Torsion; Codichromatic graphs
Sources: Crossref, ORCID, NC State University Libraries
Added: December 21, 2020
2007 journal article
Knots, Links, and Self-avoiding Curves
Forma, 22(1), 5–13.
Source: ORCID
Added: February 10, 2021
2007 book
Linknot - Knot Theory by Computer
In Series on Knots and Everything.
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.
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.
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.
Source: ORCID
Added: February 10, 2021
2004 journal article
Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices
Forma, 19(4), 367–387.
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.
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.
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.
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.
Source: ORCID
Added: February 10, 2021
2002 journal article
Tessellations of the Euclidean, Elliptic and Hyperbolic Plane, Symmetry
Art and Science, 2, 229–304.
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}.
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).
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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