Research

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

List of Publications

7. B. Bašić, A. Slivková, The existence of  a hypersolid in Ed  whose Heesch number is d -1, preprint.
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).