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Bibliografija / Publications

Research papers

  1. An invariant of colored bonded knots, published online, Stud. Appl. Math. (2021)
  2. Multiple Hungarian method for k-assignment problem (with T. Novak, J. Povh, D. Rupnik Poklukar, and J. Žerovnik), to appear in Mathematics, ISSN 2227-7390 (2020)
  3. Independent rainbow domination numbers of generalized Petersen graphs P(n, 2) and P(n, 3) (with A. Peperko and J. Žerovnik), to appear in Mathematics, ISSN 2227-7390 (2020)
  4. A Markov theorem for generalized plat decomposition (with A. Cattabriga), to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (2020)
  5. The Alexander polynomial for closed braids in lens spaces (with E. Horvat), J. Pure Appl. Algebra 224:6 (2020)
  6. On the Alexander polynomial of links in lens spaces (with E. Horvat), J. Knot Theory Ramif. 28:8 (2019)
  7. Infinitely many sign-changing solutions for Kirchhoff type problems in R3 (with J. Sun, L. Li, and M. Cencelj), Nonlinear Analysis (2019)
  8. On the KBSM of links in lens spaces (with E. Manfredi), J. Knot Theory Ramif. 27:01 (2018)
  9. Tabulation of prime knots in lens spaces, Mediterr. J. Math 44:88 (2017)
  10. On the Seifert fibered space link group (with E. Manfredi), Topol. Appl. 206 (2016), 255-275
  11. The HOMFLYPT skein module of the lens spaces Lp,1 (with M. Mroczkowski), Topol. Appl. 175 (2014), 72-80
  12. The categorification of the Kauffman bracket skein module of RP3, Bull. Austral. Math. Soc. 88:3 (2013), 407-422
  13. Knots in the solid torus up to 6 crossings (with M. Mroczkowski), J. Knot Theory Ramif. 21:11 (2012)

Other

  1. Knot Invariants in Lens Spaces (with E. Horvat), ed. Adams C. et al., Knots, Low-Dimensional Topology and Applications. Springer Proceedings in Mathematics & Statistics 284. Springer, Cham (2019)
  2. Link diagrams and applications to skein modules (with M. Mroczkowski), Algebraic Modelling of Topological and Computational Structures and Applications, Springer Proceedings in Mathematics & Statistics (2017)
  3. Classification of knots in lens spaces, PhD thesis (2013)

Preprints

Work in progress

  1. The KBSM of bonded knots (with S. Mukherjee)
  2. Classification of bonded knots and links
  3. Knot theory in lens spaces (with I. Diamantis, S. Lambropoulou, and M. Mroczkowski), De Gruyter (by invitation), monograph in preparation

Trefoil knot