Works (77)
Updated: April 11th, 2023 10:13
2022 journal article
A broken circuit model for chromatic homology theories
EUROPEAN JOURNAL OF COMBINATORICS, 104.
doi.org (publisher)
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.
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
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
