Updated: April 11th, 2023 10:13

2022 journal article

A broken circuit model for chromatic homology theories

*EUROPEAN JOURNAL OF COMBINATORICS*, *104*.

Source: Web Of Science

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*.

author keywords: Knot invariants; knot polynomials; Jones polynomial; signature; topological data analysis; PCA; filtered PCA; data analysis

Source: Web Of Science

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*.

author keywords: Categorification; chromatic graph homology; Jones polynomial; Khovanov homology

Source: Web Of Science

Added: November 14, 2022

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

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.

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.

Source: ORCID

Added: February 10, 2021

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, 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).

Ed(s): B. Sriraman

Sources: NC State University Libraries, ORCID

Added: September 23, 2022

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, 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.

author keywords: Categorification; Magnitude of a graph; Magnitude homology

Source: Web Of Science

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, 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.

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, ORCID

Added: February 13, 2021

2020 chapter

Prediction in Cancer Genomics Using Topological Signatures and Machine Learning

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

Sources: Crossref, ORCID

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, 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.

Sources: Web Of Science, ORCID

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, ORCID

Added: September 28, 2020

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

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.

author keywords: Knot theory; Jones polynomial; Khovanov homology; torsion; categorification

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).

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).

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.

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

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*.

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.

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).

author keywords: Plaited polyhedra; schlegel diagram; basic polyhedra; knots; links; conway notation

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.

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.

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).

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.

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.

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

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

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.

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.

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.

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

Sources: Crossref, ORCID

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

Added: August 28, 2020

2012 journal article

Knots and links in architecture

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

Sources: Crossref, ORCID

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

Sources: Crossref, ORCID

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

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.

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

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

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, ORCID

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

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*.

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

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