Research

My research interests are in algebra and discrete mathematics, with an accent on order theory and combinatorial geometry.

List of Publications

8. K. Ago, A. Slivková,  Star coloring of some toroidal graphs, preprint.
7. B. Bašić, A. Slivková, The existence of  a hypersolid in Ed  whose Heesch number is d -1, Contrib. Discrete Math. 20, 1 (2025), 105–116. doi:...
6. B. Bašić, A. Slivková, A Sticker Album for Tilers (Collector’s Edition), Math. Intelligencer (2023). doi: 10.1007/s00283-023-10315-0.
5. B. Bašić. A. Džuklevski, A. Slivková, Solutions to Seven and a Half Problems on Tiling, Electron. J. Comb. 30, 2 (2023), P2.50, doi: 10.37236/11813.
4. B. Bašić, A. Slivková, Asymptotical unboundedness of the Heesch number in Ed  for d → ∞, Discrete Comput. Geom 67 (2022), 328–337. doi: 10.1007/s00454-020-00254-4.
3. B. Šešelja, A. Slivková, A. Tepavčević, On geometric posets and partial matroids, Algebra Univers. 81, 42 (2020) doi: 10.1007/s00012-020-00673-7.
2. B. Bašić, A. Slivková, On optimal piercing of a square, Discrete Appl. Math. 247 (2018), 242–251, doi: 10.1016/j.dam.2018.03.048.
1. B. Šešelja, A. Slivková, A. Tepavčević, Sharp partial closure operator, Miskolc Math. Notes 19 (2018), 569–579, doi: 10.18514/MMN.2018.1972.

Conference talks

  • A. Slivková, B. Bašić, Egzistencija hipertela u Ed  čiji je Hešov broj d – 1, Kongres mladih matematičara u Novom Sadu, Novi Sad, Serbia, 2022.
  • A. Slivková, B. Bašić, On the Heesch number in Ed , Discrete Mathematics Days 2022, Santander, Spain, 2022.
  • A. Slivková, B. Bašić, A. Džuklevski, On the existence of m-morphic, σ-morphic and m-anisohedral tiles for some variations of the notion of tiling, 14th Nordic Combinatorial Conference, Tromsø, Norway, 2022.
  • A. Slivková, , B. Bašić, Hešov broj je neograničen za for d → ∞, Kongres mladih matematičara u Novom Sadu, Novi Sad, Serbia, 2019.
  • A. Slivková, B. Šešelja, A. Tepavčević, On partial matroids, geometric posets and semimodular posets,  AAA94 in conjuction with NSAC 2017, Novi Sad, Serbia, 2019.
  • A. Slivková, Od parcijalnih operatora zatvaranja, preko parcijalnih matroida, do geometrijskih i polumodularnih poseta, SLADIM+, Novi Sad, Serbia, 2018.
  • A. Slivková, B. Šešelja, A. Tepavčević, Closure operators on posets and lattice-valued up-sets, Summer School on General Algebra and Ordered Sets, Stará Lesná, Slovakia, 2014.

Textbooks

1. A. Slivková, Diskretna matematika 2, Prirodno-matematički fakultet, Novi Sad, 2022 (textbook on discrete mathematics for undergraduate students of applied mathematics).