Radmila Sazdanovic

Miller, M., Johnston, N., Livengood, I., Spinelli, M., Sazdanovic, R., & Olufsen, M. S. (2023). A topological data analysis study on murine pulmonary arterial trees with pulmonary hypertension. MATHEMATICAL BIOSCIENCES, 364. https://doi.org/10.1016/j.mbs.2023.109056

Khovanov, M., & Sazdanovic, R. (2023, October 19). Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category. FUNDAMENTA MATHEMATICAE, Vol. 10. https://doi.org/10.4064/fm283-8-2023

Chandler, A., Sazdanovic, R., Stella, S., & Yip, M. (2023). On the strength of chromatic symmetric homology for graphs. ADVANCES IN APPLIED MATHEMATICS, 150. https://doi.org/10.1016/j.aam.2023.102559

Chandler, A., & Sazdanovic, R. (2022). <p>A broken circuit model for chromatic homology theories</p>. EUROPEAN JOURNAL OF COMBINATORICS, 104. https://doi.org/10.1016/j.ejc.2022.103538

Levitt, J. S. F., Hajij, M., & Sazdanovic, R. (2022, November 28). Big data approaches to knot theory: Understanding the structure of the Jones polynomial. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 11. https://doi.org/10.1142/S021821652250095X

Sazdanovic, R., & Scofield, D. (2022, October 31). Extremal Khovanov homology and the girth of a knot. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 10. https://doi.org/10.1142/S0218216522500833

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2022). Local Versus Global Distances for Zigzag and Multi-Parameter Persistence Modules. In Association for Women in Mathematics Series. https://doi.org/10.1007/978-3-030-95519-9_3

Aslam, J., Ardanza-Trevijano, S., Xiong, J., Arsuaga, J., & Sazdanovic, R. (2022). TAaCGH Suite for Detecting Cancer-Specific Copy Number Changes Using Topological Signatures. ENTROPY, 24(7). https://doi.org/10.3390/e24070896

Khovanov, M., & Sazdanovic, R. (2021). Diagrammatic categorification of the Chebyshev polynomials of the second kind. Journal of Pure and Applied Algebra, 225(6), 1006592. https://doi.org/10.1016/j.jpaa.2020.106592

Khovanov, M., & Sazdanovic, R. (2021). Diagrammatic categorification of the Chebyshev polynomials of the second kind. Journal of Pure and Applied Algebra, 225(6), 106592. https://doi.org/https://doi.org/10.1016/j.jpaa.2020.106592

Adams, C., Flapan, E., Henrich, A., Kauffman, L. H., Ludwig, L. D., & Nelson, S. (2021). Encyclopedia of Knot Theory. In Chapman and Hall/CRC. https://doi.org/10.1201/9781138298217

Baldwin, J. A., Dowlin, N., Levine, A. S., Lidman, T., & Sazdanovic, R. (2021). Khovanov homology detects the figure‐eight knot. Bulletin of the London Mathematical Society, 53(3), 871–876. https://doi.org/10.1112/blms.12467

Russell, H., & Sazdanovic, R. (2021). Mathematics and Art: Unifying Perspectives. In B. Sriraman (Ed.), Handbook of the Mathematics of the Arts and Sciences (pp. 497–525). https://doi.org/https://doi.org/10.1007/978-3-319-57072-3

Caprau, C., González, N., Lee, C. R. S., Lowrance, A. M., Sazdanović, R., & Zhang, M. (2021). On Khovanov Homology and Related Invariants. In Association for Women in Mathematics Series. https://doi.org/10.1007/978-3-030-80979-9_6

Dabkowski, M. K., Harizanov, V., Kauffman, L. H., Przytycki, J. H., Sazdanovic, R., & Sikora, A. (2021, December). Preface. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 30. https://doi.org/10.1142/S0218216521020016

Sazdanovic, R., & Summers, V. (2021). Torsion in the magnitude homology of graphs. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES, 16(2), 275–296. https://doi.org/10.1007/s40062-021-00281-9

Chandler, A., Lowrance, A. M., Sazdanović, R., & Summers, V. (2021). Torsion in thin regions of Khovanov homology. Canadian Journal of Mathematics, 74(3), 1–27. https://doi.org/10.4153/S0008414X21000043

Sazdanovic, R. (2021). Visualizations and visual thinking in mathematics. In E. Fiorentini & J. Elinks (Eds.), On visualization: A multicentric critique beyond inforgraphics. Münster, Germany: LIT Verlag.

Khovanov, M., & Sazdanovic, R. (2020). Bilinear pairings on two-dimensional cobordisms and generalizations of the Deligne category (ArXiv No. 2007.11640).

Sazdanovic, R., & Scofield, D. (2020). Extremal Khovanov homology and the girth of a knot (ArXiv No. 2003.05074).

Sazdanovic, R. (2020). 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.

Caprau, C., Gonzalez, N., Lee, C. R. S., Lowrance, A., Sazdanovic, R., & Zhang, M. (2020). On Khovanov Homology and Related Invariants. Proceedings of the Research Collaboration Conference of the Women in Symplectic and Contact Geometry and Topology. Springer.

Adamaszek, M., Adams, H., Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., … Ziegelmeier, L. (2020). On homotopy types of Vietoris–Rips complexes of metric gluings. Journal of Applied and Computational Topology, 4(3), 425–454. https://doi.org/10.1007/s41468-020-00054-y

Gonzalez, G., Ushakova, A., Sazdanovic, R., & Arsuaga, J. (2020). Prediction in Cancer Genomics Using Topological Signatures and Machine Learning. In Topological Data Analysis (pp. 247–276). https://doi.org/10.1007/978-3-030-43408-3_10

Chandler, A., & Sazdanovic, R. (2019). A Broken Circuit Model for Chromatic Homology Theories (Arxiv No. 1911.13226).

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, October). Knots, low-dimensional topology and applications Preface. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 28. https://doi.org/10.1142/S0218216519020012

Adams, C. C., Gordon, C. M. A., Jones, V. F. R., Kauffman, L. H., Lambropoulou, S., Millett, K., … Sazdanovic, R. (2019, November). Knots, low-dimensional topology and applications Preface. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 28. https://doi.org/10.1142/S0218216519030019

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2019). Local Versus Global Distances for Zigzag Persistence Modules (ArXiv No. 1903.08298).

Cooper, A. A., Silva, V., & Sazdanovic, R. (2019). On configuration spaces and simplicial complexes. New York J. Math, 25, 723–744.

Chandler, A., Sazdanovic, R., Stella, S., & Yip, M. (2019). On the Strength of Chromatic Symmetric Homology for graphs (ArXiv No. 1911.13297).

Nelson, S., Oyamaguchi, N., & Sazdanovic, R. (2019). Psyquandles, Singular Knots and Pseudoknots. TOKYO JOURNAL OF MATHEMATICS, 42(2), 405–429. https://doi.org/10.3836/tjm/1502179287

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2019). The relationship between the intrinsic Čech and persistence distortion distances for metric graphs. Journal of Computational Geometry, Vol. 10 No. 1 (2019). https://doi.org/10.20382/JOCG.V10I1A16

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2019). The relationship between the intrinsic Čech and persistence distortion distances for metric graphs. Journal of Computational Geometry, 10(1), 477–499.

Sazdanovic, R., & Summers, V. (2019). Torsion in the Magnitude homology of graphs (ArXiv No. 1912.13483).

Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., Wang, B., Wang, Y., & Ziegelmeier, L. (2018). A Complete Characterization of the One-Dimensional Intrinsic Čech Persistence Diagrams for Metric Graphs. Research in Computational Topology, pp. 33–56. https://doi.org/10.1007/978-3-319-89593-2_3

Sazdanovic, R., & Yip, M. (2018). A categorification of the chromatic symmetric function. Journal of Combinatorial Theory, Series A, 154, 218–246. https://doi.org/10.1016/j.jcta.2017.08.014

Sazdanovic, R. (2018). Khovanov homology and torsion. NEW DIRECTIONS IN GEOMETRIC AND APPLIED KNOT THEORY, pp. 125–137. https://doi.org/10.1515/9783110571493-005

Sazdanovic, R., & Scofield, D. (2018). Patterns in Khovanov link and chromatic graph homology. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 27(3). https://doi.org/10.1142/s0218216518400072

Dabkowski, M. K., Harizanov, V., Kauffman, L. H., Przytycki, J. H., Sazdanovic, R., & Sikora, A. (2018). 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).

Adamaszek, M., Adams, H., Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., … Ziegelmeier, L. (2018). Vietoris-rips and čech complexes of metric gluings. Leibniz International Proceedings in Informatics, LIPIcs, 99, 32–315. https://doi.org/10.4230/LIPIcs.SoCG.2018.3

Adamaszek, M., Adams, H., Gasparovic, E., Gommel, M., Purvine, E., Sazdanovic, R., … Ziegelmeier, L. (2018). 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.

Lowrance, A. M., & Sazdanovic, R. (2017). Chromatic homology, Khovanov homology, and torsion. TOPOLOGY AND ITS APPLICATIONS, 222, 77–99. https://doi.org/10.1016/j.topol.2017.02.078

Guan, H., Tang, W., Krim, H., Keiser, J., Rindos, A., & Sazdanovic, R. (2016). A topological collapse for document summarization. 2016 IEEE 17th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC), 2016-August. https://doi.org/10.1109/spawc.2016.7536867

Jablan, S. V., & Sazdanovic, R. (2016). From Conway Notation to LinKnot. KNOT THEORY AND ITS APPLICATIONS, Vol. 670, pp. 63–92. https://doi.org/10.1090/conm/670/13445

Radovic, L., Gerdes, P., Jablan, S., & Sazdanovic, R. (2016). Plaited polyhedra: A knot theory point of view. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9). https://doi.org/10.1142/s0218216516410066

Kauffman, L. H., Lambropoulou, S., & Sazdanovic, R. (2016, August). Remembering Slavik Jablan. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 25. https://doi.org/10.1142/s0218216516020028

Sazdanovic, R., Kauffman, L. H., & Radovic, L. (2016, August). Remembrance Slavik Jablan (1952-2015). JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Vol. 25. https://doi.org/10.1142/s021821651602003x

Zekovic, A., Jablan, S., Kauffman, L., Sazdanovic, R., & Stosic, M. (2016). Unknotting and maximum unknotting numbers. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25(9). https://doi.org/10.1142/s0218216516410108

Khovanov, M., & Sazdanovic, R. (2015). A Categorification of One-Variable Polynomials. Discrete Mathematics and Theoretical Computer Science, 937–948.

Sazdanovic, R., & Yip, M. (2015). A categorification of the chromatic symmetric polynomial. Discrete Mathematics and Theoretical Computer Science, 631–642.

Khovanov, M., & Sazdanovic, R. (2015). Categorifications of the polynomial ring. FUNDAMENTA MATHEMATICAE, 230(3), 251–280. https://doi.org/10.4064/fm230-3-3

Crowe, D., Darvas, G., Huylebrouck, D., Kappraff, J., Kauffman, L., Lambropoulou, S., … Zekovic, A. (2015, September). In Memoriam: Slavik Jablan 1952-2015 Obituary. SYMMETRY-BASEL, Vol. 7, pp. 1261–1274. https://doi.org/10.3390/sym7031261

Przytycki, J. H., & Sazdanovic, R. (2014). Torsion in Khovanov homology of semi-adequate links. FUNDAMENTA MATHEMATICAE, 225(1), 277–303. https://doi.org/10.4064/fm225-1-13

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). REDUCED RELATIVE TUTTE, KAUFFMAN BRACKET AND JONES POLYNOMIALS OF VIRTUAL LINK FAMILIES. Journal of Knot Theory and Its Ramifications, 22(04), 1340003. https://doi.org/10.1142/s0218216513400038

Nanda, V., & Sazdanović, R. (2013, October 10). Simplicial Models and Topological Inference in Biological Systems. Discrete and Topological Models in Molecular Biology, pp. 109–141. https://doi.org/10.1007/978-3-642-40193-0_6

Jablan, S., & Sazdanovic, R. (2012). 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.

Sazdanovic, R. (2012). Diagrammatics in Art and Mathematics. Symmetry, 4(2), 285–301. https://doi.org/10.3390/sym4020285

Sazdanovic, R., Barallo, J., Budin, M., Durity, A., Fenyvesi, K., Jablan, S., … Stettner, E. (Eds.). (2012). Experience-centered approach and Visuality in the Education of Mathematics and Physics. Kaposvar: Kaposvar University.

Sazdanovic, R. (2012). Fisheye View of Tessellations. Bridges: Mathematical Connections in Art, Music and Science, 361–364.

Baranovsky, V., & Sazdanovic, R. (2012). Graph homology and graph configuration spaces. Journal of Homotopy and Related Structures, 7(2), 223–235. https://doi.org/10.1007/S40062-012-0006-3

Jablan, S., Radović, L., & Sazdanović, R. (2012). Knots and links in architecture. Pollack Periodica, 7(Supplement 1), 65–76. https://doi.org/10.1556/pollack.7.2012.s.6

Jablan, S., Radović, L., Sazdanović, R., & Zeković, A. (2012). Knots in Art. Symmetry, 4(2), 302–328. https://doi.org/10.3390/sym4020302

Jablan, S., Radović, L., Sazdanović, R., & Zeković, A. (2012). Mirror-curves and knot mosaics. Computers & Mathematics with Applications, 64(4), 527–543. https://doi.org/10.1016/j.camwa.2011.12.042

Jablan, S. V., & Sazdanović, R. (2011, September). DIAGRAMMATIC KNOT PROPERTIES AND INVARIANTS. Introductory Lectures on Knot Theory, pp. 162–186. https://doi.org/10.1142/9789814313001_0008

Jablan, S., Radovi?, L., & Sazdanovi?, R. (2011). Knots and links derived from prismatic graphs. Match, 66(1), 65–92. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-80155214125&partnerID=MN8TOARS

Jablan, S., Radović, L., & Sazdanović, R. (2011). Nonplanar graphs derived from Gauss codes of virtual knots and links. Journal of Mathematical Chemistry, 49(10), 2250–2267. https://doi.org/10.1007/S10910-011-9884-6

Jablan, S., Radovi?, L., & Sazdanovi?, R. (2011). Pyramidal knots and links and their invariants. Match, 65(3), 541–580. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-80051537311&partnerID=MN8TOARS

Sazdanović, R. (2010). Categorification of Knot and Graph Polynomials and the Polynomial Ring, Electronic dissertation published by ProQuest. Retrieved from http://surveyor.gelman.gwu.edu/.

Jablan, S., Radović, L., & Sazdanović, R. (2010). Tutte and Jones polynomials of links, polyominoes and graphical recombination patterns. Journal of Mathematical Chemistry, 49(1), 79–94. https://doi.org/10.1007/S10910-010-9731-1

JABLAN, S. L. A. V. I. K., & SAZDANOVIĆ, R. A. D. M. I. L. A. (2008). BRAID FAMILY REPRESENTATIVES. Journal of Knot Theory and Its Ramifications, 17(07), 817–833. https://doi.org/10.1142/s0218216508006427

Pabiniak, M. D., Przytycki, J. H., & Sazdanović, R. (2008). On the first group of the chromatic cohomology of graphs. Geometriae Dedicata, 140(1), 19–48. https://doi.org/10.1007/S10711-008-9307-4

Jablan, S., & Sazdanović, R. (2007). Knots, Links, and Self-avoiding Curves. Forma, 22(1), 5–13.

Jablan, S., & Sazdanović, R. (2007). Linknot - Knot Theory by Computer. In Series on Knots and Everything. https://doi.org/10.1142/9789812772244

JABLAN, S. L. A. V. I. K., & SAZDANOVIĆ, R. A. D. M. I. L. A. (2007). UNLINKING NUMBER AND UNLINKING GAP. Journal of Knot Theory and Its Ramifications, 16(10), 1331–1355. https://doi.org/10.1142/s0218216507005828

Basic Polyhedra in Knot Theory. (2005). Kragujevac Journal of Mathematics, 28 , 155–164.

Jablan, S., & Sazdanovic, R. (2004). Discovering symmetry of knots by using program LinKnot. The Journal of ISIS-Symmetry, 1-4, 102–106.

Kappraff, J., Jablan, S., Adamson, G. W., & Sazdanović, R. (2004). Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices. Forma, 19(4), 367–387.

Sazdanovic, R., & Sremcević, M. (2004). Hyperbolic Tessellations by tess. Symmetry: Art and Science (The Quarterly of ISIS Symmetry), 1–4 226–229.

Sarhangi, R., Jablan, S., & Sazdanovic, R. (2004). Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical and Theoretical Considerations, Bridges. Mathematical Connections in Art, Music and Science, Conference Proceedings, 281–293.

Jablan, S., & Sazdanovic, R. (2004). Visualizing symmetry of knots by using program LinKnot, Symmetry: Art and Science. The Journal of ISIS-Symmetry, 1-4, 106–110.

Barrallo, J., & Sazdanovic, R. (2002). Computer Sculpture: A Journey Through Mathematics,Bridges: Mathematical Connections in Art. Music and Science, Conference Proceedings, 54.

Sazdanovic, R., & Sremcevic, M. (2002). Tessellations of the Euclidean, Elliptic and Hyperbolic Plane, Symmetry. Art and Science, 2, 229–304.

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

Levitt, J. S., Hajij, M., & Sazdanovic, R. Big Data approaches to knot theory: Understanding the structure of the Jones polynomial (ArXiv No. 1912.10086).