{"id":8,"date":"2024-07-08T08:34:06","date_gmt":"2024-07-08T08:34:06","guid":{"rendered":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/?page_id=8"},"modified":"2026-02-28T06:52:14","modified_gmt":"2026-02-28T06:52:14","slug":"research","status":"publish","type":"page","link":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\n<p>My research interests are in algebra and discrete mathematics, with an accent on order theory and combinatorial geometry.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">List of Publications<\/h3>\n\n\n\n<p>8. K. Ago, <strong>A. Slivkov\u00e1<\/strong>, \u00a0Star coloring of some toroidal graphs,<em>Contrib. Discrete Math.<\/em> <strong>21<\/strong>, 1 (2026), 216\u2013226. doi: <a href=\"https:\/\/doi.org\/10.55016\/s2bb5p30\">10.55016\/s2bb5p30<\/a><br>7. B. Ba\u0161i\u0107, <strong>A. Slivkov\u00e1<\/strong>, The existence of\u00a0 a hypersolid in <strong>E<\/strong><em><sup>d<\/sup><\/em>\u00a0 whose Heesch number is <em>d<\/em> -1, <em>Contrib. Discrete Math.<\/em> <strong>20<\/strong>, 1 (2025), 105\u2013116. doi: <a href=\"https:\/\/doi.org\/10.55016\/ojs\/cdm.v20i1.77044\" data-type=\"link\" data-id=\"https:\/\/doi.org\/10.55016\/ojs\/cdm.v20i1.77044\">10.55016\/ojs\/cdm.v20i1.77044<\/a>.<br>6. B. Ba\u0161i\u0107, <strong>A. Slivkov\u00e1<\/strong>, A Sticker Album for Tilers (Collector\u2019s Edition), <em>Math. Intelligencer<\/em> (2024). doi: <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00283-023-10315-0\" data-type=\"link\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00283-023-10315-0\">10.1007\/s00283-023-10315-0<\/a>.<br>5. B. Ba\u0161i\u0107. A. D\u017euklevski, <strong>A. Slivkov\u00e1<\/strong>, Solutions to Seven and a Half Problems on Tiling, <em>Electron. J. Comb. <\/em><strong>30<\/strong>, 2 (2023), P2.50, doi: <a href=\"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i2p50\" data-type=\"link\" data-id=\"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i2p50\">10.37236\/11813<\/a>.<br>4. B. Ba\u0161i\u0107, <strong>A. Slivkov\u00e1<\/strong>, Asymptotical unboundedness of the Heesch number in <strong>E<\/strong><em><sup>d<\/sup><\/em>\u00a0 for <em>d<\/em> \u2192 \u221e, <em>Discrete Comput. Geom <\/em><strong>67<\/strong> (2022), 328\u2013337. doi: <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00454-020-00254-4\" data-type=\"link\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00454-020-00254-4\">10.1007\/s00454-020-00254-4<\/a>.<br>3. B. \u0160e\u0161elja, <strong>A. Slivkov\u00e1<\/strong>, A. Tepav\u010devi\u0107, On geometric posets and partial matroids, <em>Algebra Univers. <\/em><strong>81<\/strong>, 42 (2020) doi: <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00012-020-00673-7\" data-type=\"link\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00012-020-00673-7\">10.1007\/s00012-020-00673-7<\/a>.<br>2. B. Ba\u0161i\u0107, <strong>A. Slivkov\u00e1<\/strong>, On optimal piercing of a square<em>, Discrete Appl. Math.<\/em> <strong>247<\/strong> (2018), 242\u2013251, doi: <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X18301471\" data-type=\"link\" data-id=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X18301471\">10.1016\/j.dam.2018.03.048<\/a>.<br>1. B. \u0160e\u0161elja, <strong>A. Slivkov\u00e1<\/strong>, A. Tepav\u010devi\u0107, Sharp partial closure operator, <em>Miskolc Math. Notes<\/em> <strong>19 <\/strong>(2018), 569\u2013579, doi: <a href=\"http:\/\/mat76.mat.uni-miskolc.hu\/mnotes\/article\/1972\" data-type=\"link\" data-id=\"http:\/\/mat76.mat.uni-miskolc.hu\/mnotes\/article\/1972\">10.18514\/MMN.2018.1972<\/a>.<br><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conference talks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A. Slivkov\u00e1, B. Ba\u0161i\u0107, Egzistencija hipertela u <em>E<sup>d<\/sup><\/em><sup> <\/sup>&nbsp;\u010diji je He\u0161ov broj <em>d <\/em>\u2013 1, Kongres mladih matemati\u010dara u Novom Sadu, Novi Sad, Serbia, 2022.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, B. Ba\u0161i\u0107, On the Heesch number in <em>E<sup>d<\/sup><\/em><sup> <\/sup><em>, <\/em>Discrete Mathematics Days 2022, Santander, Spain, 2022.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, B. Ba\u0161i\u0107, A. D\u017euklevski, On the existence of<em> m<\/em>-morphic, <em>\u03c3<\/em>-morphic and <em>m<\/em>-anisohedral tiles for some variations of the notion of tiling, 14th Nordic Combinatorial Conference, Troms\u00f8, Norway, 2022.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, , B. Ba\u0161i\u0107, He\u0161ov broj je neograni\u010den za for <em>d<\/em> \u2192 \u221e, Kongres mladih matemati\u010dara u Novom Sadu, Novi Sad, Serbia, 2019.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, B. \u0160e\u0161elja, A. Tepav\u010devi\u0107, On partial matroids, geometric posets and semimodular posets, &nbsp;AAA94 in conjuction with NSAC 2017, Novi Sad, Serbia, 2019.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, Od parcijalnih operatora zatvaranja, preko parcijalnih matroida, do geometrijskih i polumodularnih poseta, SLADIM+, Novi Sad, Serbia, 2018.<\/li>\n\n\n\n<li>A. Slivkov\u00e1, B. \u0160e\u0161elja, A. Tepav\u010devi\u0107, Closure operators on posets and lattice-valued up-sets, Summer School on General Algebra and Ordered Sets, Star\u00e1 Lesn\u00e1, Slovakia, 2014.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Textbooks<\/h3>\n\n\n\n<p>1. <a href=\"https:\/\/www.pmf.uns.ac.rs\/studije\/epublikacije\/matinf\/slivkova_diskretna_matematika_2.pdf\">A. Slivkov\u00e1, Diskretna matematika 2, Prirodno-matemati\u010dki fakultet, Novi Sad, 2022<\/a> (textbook on discrete mathematics for undergraduate students of applied mathematics).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>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. Slivkov\u00e1, \u00a0Star coloring of some toroidal graphs,Contrib. Discrete Math. 21, 1 (2026), 216\u2013226. doi: 10.55016\/s2bb5p307. B. Ba\u0161i\u0107, A. Slivkov\u00e1, The existence of\u00a0 a hypersolid in Ed\u00a0 whose Heesch number is [&hellip;]<\/p>\n","protected":false},"author":106,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-8","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/pages\/8","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/users\/106"}],"replies":[{"embeddable":true,"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/comments?post=8"}],"version-history":[{"count":21,"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/pages\/8\/revisions"}],"predecessor-version":[{"id":171,"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/pages\/8\/revisions\/171"}],"wp:attachment":[{"href":"https:\/\/personal.pmf.uns.ac.rs\/anna.slivkova\/wp-json\/wp\/v2\/media?parent=8"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}