Radmila Sazdanovic

Characterizing cancer chromosome aberration pathways using multigraphs

Sheth, S., Arsuaga, J., & Sazdanovic, R. (2026, March 4). Journal of Physics A Mathematical and Theoretical.

Reproducible data, example subsets, and analysis pipeline for the extended TAaCGH study of breast cancer genomic and transcriptomic profiles

Ochoa Zavalza, S., Pouokam, M., Kruse, M., Gonzalez-Isunza, G., Sazdanovic, R., & Arsuaga, J. (2025, November 20). DRYAD, Vol. 11.

Topological data analysis identifies PURPL as a prognostic gene in breast cancer Luminal A patients

Zavalza, S. J. O., Pouokam, M., Kruse, M., Gonzalez, G., Sazdanovic, R., Arsuaga, J., … Gonzalez-Isunza, G. (2025, November 13). BioRxiv (Cold Spring Harbor Laboratory).

Mapper–Type Algorithms for Complex Data and Relations

Dłotko, P., Gurnari, D., & Sazdanovic, R. (2024, April 22). Journal of Computational and Graphical Statistics, Vol. 6.

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

Miller, M., Johnston, N., Livengood, I., Spinelli, M., Sazdanovic, R., & Olufsen, M. S. (2023, August 6). Mathematical Biosciences, Vol. 364.

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

Khovanov, M., & Sazdanovic, R. (2023, October 19). Fundamenta Mathematicae, Vol. 10.

On the strength of chromatic symmetric homology for graphs

Chandler, A., Sazdanovic, R., Stella, S., & Yip, M. (2023, June 15). Advances in Applied Mathematics, Vol. 150.

A broken circuit model for chromatic homology theories

Chandler, A., & Sazdanovic, R. (2022, April 13). European Journal of Combinatorics, Vol. 104.

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

Levitt, J. S. F., Hajij, M., & Sazdanovic, R. (2022, November 1). Journal of Knot Theory and Its Ramifications, Vol. 11.

Extremal Khovanov homology and the girth of a knot

Sazdanović, R., & Scofield, D. (2022, September 14). Journal of Knot Theory and Its Ramifications, Vol. 10.

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

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2022, January 1). Association for Women in Mathematics Series.

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

Aslam, J., Ardanza-Trevijano, S., Xiong, J., Arsuaga, J., & Sazdanovic, R. (2022, June 29). Entropy, Vol. 7.

Encyclopedia of Knot Theory

Adams, C., Flapan, E., Henrich, A., Kauffman, L. H., Ludwig, L. D., & Nelson, S. (2021, February 10). Chapman and Hall/CRC.

Khovanov homology detects the figure‐eight knot

Bulletin of the London Mathematical Society, 1.

Mathematics and Art: Unifying Perspectives

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

On Khovanov Homology and Related Invariants

Caprau, C., González, N., Lee, C. R. S., Lowrance, A. M., Sazdanović, R., & Zhang, M. (2021, January 1). Association for Women in Mathematics Series.

Preface

Dabkowski, M. K., Harizanov, V., Kauffman, L. H., Przytycki, J. H., Sazdanovic, R., & Sikora, A. (2021, December 1). Journal of Knot Theory and Its Ramifications, Vol. 12.

Torsion in the magnitude homology of graphs

Sazdanovic, R., & Summers, V. (2021, May 15). Journal of Homotopy and Related Structures, Vol. 16, pp. 275–296.

Torsion in thin regions of Khovanov homology

Canadian Journal of Mathematics, 1, 1–27.

Visualizations and visual thinking in mathematics

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

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

(ArXiv No. 2007.11640).

Diagrammatic categorification of the Chebyshev polynomials of the second kind

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

Extremal Khovanov homology and the girth of a knot

(ArXiv No. 2003.05074).

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.

On Khovanov Homology and Related Invariants

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

On homotopy types of Vietoris–Rips complexes of metric gluings

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

Prediction in Cancer Genomics Using Topological Signatures and Machine Learning

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

A Broken Circuit Model for Chromatic Homology Theories

(Arxiv No. 1911.13226).

Local Versus Global Distances for Zigzag Persistence Modules

(ArXiv No. 1903.08298).

On configuration spaces and simplicial complexes

New York J. Math, 25, 723–744.

On the Strength of Chromatic Symmetric Homology for graphs

(ArXiv No. 1911.13297).

Preface: Knots, low-dimensional topology and applications

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, September 5). Journal of Knot Theory and Its Ramifications, Vol. 28.

Preface: Knots, low-dimensional topology and applications

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, November 1). Journal of Knot Theory and Its Ramifications, Vol. 28.

Psyquandles, Singular Knots and Pseudoknots

NELSON, S., OYAMAGUCHI, N., & SAZDANOVIC, R. (2019, December 1). Tokyo Journal of Mathematics, Vol. 42, pp. 405–429.

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

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

Torsion in the Magnitude homology of graphs

(ArXiv No. 1912.13483).

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

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2018, January 1). Association for Women in Mathematics Series, pp. 33–56.

Patterns in Khovanov Link and Chromatic Graph Homology.

Sazdanovic, R., & Scofield, D. (2018, April 13). NCSU Libraries Repository (North Carolina State University Libraries), Vol. 27, p. 1840007.

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).

The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs

Vietoris-Rips and Cech Complexes of Metric Gluings

Adamaszek, M., Adams, H., Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., … Ziegelmeier, L. (2018, January 1). DROPS (Schloss Dagstuhl – Leibniz Center for Informatics), Vol. 99, pp. 32–315.

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.

A categorification of the chromatic symmetric function

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

Chromatic homology, Khovanov homology, and torsion

Lowrance, A. M., & Sazdanović, R. (2017, March 6). Topology and Its Applications, Vol. 222, pp. 77–99.

Discrete knot energies

Scholtes, S. (2017, December 31). NEW DIRECTIONS IN GEOMETRIC AND APPLIED KNOT THEORY, pp. 125–137.

A topological collapse for document summarization

Guan, H., Tang, W., Krim, H., Keiser, J., Rindos, A., & Sazdanovic, R. (2016, July 1). Ieee International Workshop on Signal Processing Advances in Wireless.

From Conway Notation to LinKnot

Jablan, S., & Sazdanovic, R. (2016, January 1). Contemporary Mathematics - American Mathematical Society, Vol. 670, pp. 63–92.

Plaited polyhedra: A knot theory point of view

Radović, L., Gerdes, P., Jablan, S., & Sazdanovic, R. (2016, June 14). Journal of Knot Theory and Its Ramifications, Vol. 25, p. 1641006.

Remembering Slavik Jablan

Kauffman, L. H., Lambropoulou, S., & Sazdanovic, R. (2016, August 1). Journal of Knot Theory and Its Ramifications, Vol. 25.

Remembrance: Slavik Jablan (1952–2015)

Sazdanovic, R., Kauffman, L. H., & Radovic, L. (2016, August 1). Journal of Knot Theory and Its Ramifications, Vol. 25.

Unknotting and maximum unknotting numbers

Zeković, A., Jablan, S., Kauffman, L., Sazdanovic, R., & Stošić, M. (2016, June 14). Journal of Knot Theory and Its Ramifications, Vol. 25, p. 1641010.

A Categorification of One-Variable Polynomials

Discrete Mathematics and Theoretical Computer Science, 937–948.

A categorification of the chromatic symmetric polynomial

Discrete Mathematics and Theoretical Computer Science, 631–642.

Categorifications of the polynomial ring

Khovanov, M., & Sazdanovic, R. (2015, January 1). Fundamenta Mathematicae, Vol. 230, pp. 251–280.

In Memoriam: Slavik Jablan 1952–2015

Crowe, D., Darvas, G., Huylebrouck, D., Kappraff, J., Kauffman, L., Lambropoulou, S., … Office, S. (2015, July 15). Symmetry, Vol. 7, pp. 1261–1274.

Torsion in Khovanov homology of semi-adequate links

Przytycki, J. H., & Sazdanović, R. (2014, January 1). Fundamenta Mathematicae, Vol. 225, pp. 277–303.

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

KAUFFMAN, L. O. U. I. S. H., JABLAN, S. L. A. V. I. K., RADOVIĆ, L. J. I. L. J. A. N. A., & SAZDANOVIĆ, R. A. D. M. I. L. A. (2013, February 20). Journal of Knot Theory and Its Ramifications, Vol. 22, p. 1340003.

Simplicial Models and Topological Inference in Biological Systems

Nanda, V., & Sazdanović, R. (2013, October 10). Natural Computing Series, pp. 109–141.

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.

Diagrammatics in Art and Mathematics

Symmetry, 4(2), 285–301.

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

Kaposvar: Kaposvar University.

Fisheye View of Tessellations

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

Graph homology and graph configuration spaces

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

Knots and links in architecture

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

Knots in Art

Symmetry, 4(2), 302–328.

Mirror-curves and knot mosaics

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

DIAGRAMMATIC KNOT PROPERTIES AND INVARIANTS

Jablan, S. V., & Sazdanović, R. (2011, September 1). Series on Knots and Everything, pp. 162–186.

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

Nonplanar graphs derived from Gauss codes of virtual knots and links

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

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

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

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

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

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

BRAID FAMILY REPRESENTATIVES

JABLAN, S. L. A. V. I. K., & SAZDANOVIĆ, R. A. D. M. I. L. A. (2008, July 1). Journal of Knot Theory and Its Ramifications, Vol. 17, pp. 817–833.

On the first group of the chromatic cohomology of graphs

Geometriae Dedicata, 140(1), 19–48.

Knots, Links, and Self-avoiding Curves

Forma, 22(1), 5–13.

Linknot - Knot Theory by Computer

Jablan, S., & Sazdanović, R. (2007, January 1). Series on Knots and Everything.

UNLINKING NUMBER AND UNLINKING GAP

JABLAN, S. L. A. V. I. K., & SAZDANOVIĆ, R. A. D. M. I. L. A. (2007, December 1). Journal of Knot Theory and Its Ramifications, Vol. 16, pp. 1331–1355.

Basic Polyhedra in Knot Theory

Kragujevac Journal of Mathematics, 28 , 155–164.

Discovering symmetry of knots by using program LinKnot

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

Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices

Forma, 19(4), 367–387.

Hyperbolic Tessellations by tess

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

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

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

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

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

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

Music and Science, Conference Proceedings, 54.

Tessellations of the Euclidean, Elliptic and Hyperbolic Plane, Symmetry

Art and Science, 2, 229–304.

A whittled complex for the Khovanov homology of torus links

https://arxiv.org/abs/2601.09079

BASIC POLYHEDRA IN KNOT THEORY

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

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

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

Data driven perspectives on knot theory

https://arxiv.org/pdf/2503.15103

Dowker's theorem for higher-order relations

https://arxiv.org/pdf/2506.10909