{"id":279,"date":"2019-09-12T14:43:21","date_gmt":"2019-09-12T12:43:21","guid":{"rendered":"http:\/\/www4.ekf.tuke.sk\/kamahi\/?page_id=279"},"modified":"2026-07-09T09:25:47","modified_gmt":"2026-07-09T07:25:47","slug":"julius-czap","status":"publish","type":"page","link":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/julius-czap\/","title":{"rendered":"J\u00falius Czap"},"content":{"rendered":"\r\n<p><style type=\"text\/css\">\r\n.entry-content table,\r\n.entry-content th,\r\n.entry-content tr,\r\n.entry-content td{\r\n\tborder:none;\r\n}\r\ntable.other,\r\ntd.other,\r\ntr.other{\r\n\tpadding: 5px 5px 5px;\r\n}\r\ntable.other,\r\ntd.other,\r\ntr.other{\r\nborder: 1px solid black;\r\n}\r\n<\/style><\/p>\r\n<table style=\"float: left; width: 950px;\">\r\n<tbody>\r\n<tr>\r\n<td align=\"right\">\r\n<h4><a class=\"btn-secondary\" href=\"#experience\" target=\"_self\" rel=\"noopener noreferrer\">Pedagogick\u00e1 \u010dinnos\u0165<\/a><\/h4>\r\n<\/td>\r\n<td align=\"center\">\r\n<h4><a class=\"btn-secondary\" href=\"#work\" target=\"_self\" rel=\"noopener noreferrer\">Publik\u00e1cie<\/a><\/h4>\r\n<\/td>\r\n<td align=\"center\">\r\n<h4><a class=\"btn-secondary\" href=\"#project\" target=\"_self\" rel=\"noopener noreferrer\">Projekty<\/a><\/h4>\r\n<\/td>\r\n<td align=\"left\">\r\n<h4><a class=\"btn-secondary\" href=\"#contact\" target=\"_self\" rel=\"noopener noreferrer\">Kontakt<\/a><\/h4>\r\n<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p><img decoding=\"async\" class=\"wp-image-364\" style=\"width: 250px; float: right;\" src=\"https:\/\/kamahi.ekf.tuke.sk\/wp-content\/uploads\/2019\/10\/EkF-zamestnanci-011.jpg\" alt=\"jc\" \/><\/p>\r\n<div style=\"float: left; width: 75%;\">\r\n<h4><a name=\"experience\"><\/a>Pedagogick\u00e1 \u010dinnos\u0165<\/h4>\r\n<p><span style=\"text-decoration: underline;\"><strong>Cvi\u010denia:<\/strong><\/span><\/p>\r\n<ul>\r\n<li>Aplikovan\u00e1 te\u00f3ria grafov v ekon\u00f3mii<\/li>\r\n<li>Matematika I<\/li>\r\n<li>Matematika II<\/li>\r\n<\/ul>\r\n<p><span style=\"text-decoration: underline;\"><strong>Predn\u00e1\u0161ky:<\/strong><\/span><\/p>\r\n<ul>\r\n<li>Aplikovan\u00e1 te\u00f3ria grafov v ekon\u00f3mii<\/li>\r\n<\/ul>\r\n<p><span style=\"text-decoration: underline;\"><strong>Konzulta\u010dn\u00e9 hodiny<\/strong><\/span><\/p>\r\n<ul>\r\n<li>po dohode &#8211; julius.czap@tuke.sk<\/li>\r\n<\/ul>\r\n<p><b>Vedenie z\u00e1vere\u010dn\u00fdch pr\u00e1c<\/b><\/p>\r\n<p><span style=\"text-decoration: underline;\"><strong>Diplomov\u00e9 pr\u00e1ce:<\/strong><\/span><\/p>\r\n<ul>\r\n<li>Optimaliz\u00e1cia intern\u00e9ho finan\u010dn\u00e9ho reportingu v korpor\u00e1tnej sf\u00e9re s vyu\u017eit\u00edm prostriedkov automatiz\u00e1cie (2018\/2019 FBI)<\/li>\r\n<li>N\u00e1vrh tvorby portf\u00f3lia a anal\u00fdza jeho v\u00fdkonnosti (2016\/2017 FBI)<\/li>\r\n<li>Ekonomick\u00e9 a bezpe\u010dnostn\u00e9 aspekty zav\u00e1dzania bezkontaktnej technol\u00f3gie (2016\/2017 FBI)<\/li>\r\n<li>Vyu\u017e\u00edvanie Smart bankingu v podmienkach SR (2016\/2017 FBI)<\/li>\r\n<li>Webov\u00e9 rozhranie pre demon\u0161tr\u00e1ciu grafov a grafov\u00fdch algoritmov &#8211; cesty (2012\/2013 HI)<\/li>\r\n<\/ul>\r\n<p><span style=\"text-decoration: underline;\"><strong>Bakal\u00e1rske pr\u00e1ce:<\/strong><\/span><\/p>\r\n<ul>\r\n<li>Hypot\u00e9ka na vlastn\u00e9 b\u00fdvanie alebo podn\u00e1jom? (2023\/2024 FBI)<\/li>\r\n<li>Invest\u00edcie do nehnute\u013enost\u00ed &#8211; finan\u010dn\u00e1 n\u00e1vratnos\u0165 (2023\/2024 EaMVS)<\/li>\r\n<li>Mo\u017enosti sporenia pre priemerne zar\u00e1baj\u00facich v SR (2023\/2024 FBI)<\/li>\r\n<li>Trh elektromobilov na Slovensku a v zahrani\u010d\u00ed (2023\/2024 FBI)<\/li>\r\n<li>Diverzifik\u00e1cia rizika pri investovan\u00ed (2021\/2022 FBI)<\/li>\r\n<li>Finan\u010dn\u00e9 riadenie futbalov\u00e9ho klubu (2021\/2022 FBI)<\/li>\r\n<li>Modely sporenia na Slovensku (2018\/2019 FBI)<\/li>\r\n<li>Finan\u010dn\u00e1 gramotnos\u0165 \u0161tudentov (2017\/2018 FBI)<\/li>\r\n<li>Obnova budov a n\u00e1vratnos\u0165 invest\u00edci\u00ed (2017\/2018 FBI)<\/li>\r\n<li>Financovanie b\u00fdvania (2016\/2017 FBI)<\/li>\r\n<li>Modelovanie medzin\u00e1rodn\u00e9ho obchodu (2016\/2017 FBI)<\/li>\r\n<li>Stabilita na finan\u010dn\u00fdch trhoch (2016\/2017 FBI)<\/li>\r\n<li>Trh nehnute\u013enost\u00ed v Ko\u0161iciach (2016\/2017 FBI)<\/li>\r\n<li>Vyu\u017eitie met\u00f3dy kritickej cesty vo v\u00fdrobn\u00fdch procesoch (2016\/2017 EaMVS)<\/li>\r\n<li>Vz\u0165ahy v soci\u00e1lnych sie\u0165ach (2016\/2017 FBI)<\/li>\r\n<li>Trh telekomunika\u010dn\u00fdch oper\u00e1torov na Slovensku (2015\/2016 FBI)<\/li>\r\n<li>Najv\u00fdhodnej\u0161\u00ed sp\u00f4sob prepravy tovaru (2014\/2015 FBI)<\/li>\r\n<li>Optimaliz\u00e1cia rozdelenia pr\u00e1c medzi zamestnancami(2014\/2015 FBI)<\/li>\r\n<li>Rozhodovac\u00ed probl\u00e9m pri preprave u\u017eito\u010dn\u00fdch predmetov (2014\/2015 FBI)<\/li>\r\n<li>Aplik\u00e1cie te\u00f3rie grafov \u2013 v\u00fdu\u010dbov\u00e9 moduly v LMS Moodle (2013\/2014 HI)<\/li>\r\n<li>Obchodovanie na menovej burze Forex pomocou automatick\u00fdch obchodn\u00fdch syst\u00e9mov (2013\/2014 HI)<\/li>\r\n<li>On-line v\u00fdu\u010dbov\u00e9 materi\u00e1ly pre predmet Te\u00f3ria grafov (2013\/2014 HI)<\/li>\r\n<li>V\u00fdu\u010dbov\u00e9 moduly v LMS Moodle &#8211; Te\u00f3ria grafov (2012\/2013 HI)<\/li>\r\n<li>Dopravn\u00e9 \u00falohy &#8211; preprava tovaru za najni\u017e\u0161iu cenu (2011\/2012 HI)<\/li>\r\n<li>Obsadzovanie nehnute\u013enosti v danej lokalite prostredn\u00edctvom webovej aplik\u00e1cie (2011\/2012 HI)<\/li>\r\n<\/ul>\r\n<\/div>\r\n<!--\r\n<h4><a name=\"work\">Publik\u00e1cie<\/a><\/h4>\r\n<h5>5 najv\u00fdznamnej\u0161\u00edch publik\u00e1cii<\/h5>\r\n<ul align=\"justify\">\r\n<table class=\"other\">\r\n<tbody>\r\n<tr class=\"other\">\r\n<td class=\"other\" width=\"7%\"><strong>Kateg\u00f3ria<\/strong><\/td>\r\n<td class=\"other\"><strong>Publik\u00e1cia<\/strong><\/td>\r\n<\/tr>\r\n<tr class=\"other\">\r\n<td class=\"other\"><strong>???<\/strong><\/td>\r\n<td class=\"other\">???<\/td>\r\n<\/tr>\r\n<tr class=\"other\">\r\n<td class=\"other\"><strong>???<\/strong><\/td>\r\n<td class=\"other\">???<\/td>\r\n<\/tr>\r\n<tr class=\"other\">\r\n<td class=\"other\"><strong>???<\/strong><\/td>\r\n<td class=\"other\">???<\/td>\r\n<\/tr>\r\n<tr class=\"other\">\r\n<td class=\"other\"><strong>???<\/strong><\/td>\r\n<td class=\"other\">???<\/td>\r\n<\/tr>\r\n<tr class=\"other\">\r\n<td class=\"other\"><strong>???<\/strong><\/td>\r\n<td class=\"other\">???<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/ul>\r\n<li><a href=\"https:\/\/epc.lib.tuke.sk\/EvidPublQ.aspx?rok=9999&priezv=Czap&meno=Julius\" target=\"_blank\" rel=\"noopener noreferrer\">Zoznam v\u0161etk\u00fdch publik\u00e1ci\u00ed<\/a><\/li>\r\n<\/ul>\r\n-->\r\n<h4><a name=\"work\"><\/a>Publik\u00e1cie<\/h4>\r\n<ol>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/shahindp.com\/Contrib_Math\/v12\/CM25_v12_pp25-30.pdf\">Even facial 2-colorings of plane graphs<\/a><\/em>, Contributions to Mathematics 12 (2025) 25\u00a0\u2013 30.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, P. \u0160ugerek:<em> <a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=2545\">On P vertex-connections of graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 45 (2) (2025) 637\u00a0\u2013 652.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e: <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X24005341\">Facial matchings in plane graphs<\/a><\/em>, Discrete Applied Mathematics 364 (2025) 16\u00a0\u2013 22.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/www.opuscula.agh.edu.pl\/vol44\/6\/art\/opuscula_math_4438.pdf\">Facial graceful coloring of plane graphs<\/a><\/em>, Opuscula Mathematica 44 (6) (2024) 815\u00a0\u2013 825.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/shahindp.com\/Contrib_Math\/v10\/CM24_v10_pp20-24.pdf\">Odd facial total-coloring of maximal plane and outerplane graphs<\/a><\/em>, Contributions to Mathematics 10 (2024) 20\u00a0\u2013 24.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/www.dmlett.com\/archive\/v12\/DML23_v12_pp73-77.pdf\">Rainbow subgraphs in edge-colored planar and outerplanar graphs<\/a><\/em>, Discrete Mathematics Letters 12 (2023) 73\u00a0\u2013 77.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"http:\/\/comb-opt.azaruniv.ac.ir\/article_14458_5845ed2278653c2ca1ef0b462e225152.pdf\">A note on odd facial total-coloring of cacti<\/a><\/em>, Communications in Combinatorics and Optimization 8 (3) (2023) 589\u00a0\u2013 594.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/www.dmlett.com\/archive\/v10\/DML22_v10_pp56-59.pdf\">Odd facial total-coloring of unicyclic plane graphs<\/a><\/em>, Discrete Mathematics Letters 10 (2022) 56\u00a0\u2013 59.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, T. Madaras: <em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00373-021-02411-9\">Facial visibility in edge colored plane graphs<\/a><\/em>, Graphs and Combintorics 38 (2022) 4.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. \u0160ugerek: <em><a href=\"https:\/\/www.ejgta.org\/index.php\/ejgta\/article\/view\/775\">Odd facial colorings of acyclic plane graphs<\/a><\/em>, Electronic Journal of Graph Theory and Applications 9 (2) (2021) 347\u00a0\u2013 355.<\/li>\r\n<li><strong> J. Czap<\/strong>, I. Fabrici, S. Jendro\u013e: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=2319\">Colorings of plane graphs without long monochromatic facial paths<\/a><\/em>, Discussiones Mathematicae Graph Theory 41 (3) (2021) 801\u00a0\u2013 808.<\/li>\r\n<li><strong> J. Czap<\/strong>, M. Hor\u0148\u00e1k, S. Jendro\u013e: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=2369\">A survey on the cyclic coloring and its relaxations<\/a><\/em>, Discussiones Mathematicae Graph Theory 41 (1) (2021) 5\u00a0\u2013 38.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, J. Valiska: <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X19305104\">Edge-coloring of plane multigraphs with many colors on facial cycles<\/a><\/em>, Discrete Applied Mathematics 282 (2020) 80\u00a0\u2013 85.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/www.opuscula.agh.edu.pl\/vol40\/4\/art\/opuscula_math_4025.pdf\">Facial rainbow edge-coloring of simple 3-connected plane graphs<\/a><\/em>, Opuscula Mathematica 40 (4) (2020) 475\u00a0\u2013 482.<\/li>\r\n<!--\r\n<li><strong><span> J. Czap<\/span><\/strong><span>, S. Jendro\u013e, J. Valiska: <em><a href=\"http:\/\/www.iam.fmph.uniba.sk\/amuc\/ojs\/index.php\/amuc\/article\/view\/1185\/696\">Edge-coloring of plane graphs with many colors on faces<\/a><\/em>, Acta Mathematica Universitatis Comenianae 88 (3) (2019) 573&nbsp;&ndash; 576.<\/span><\/li>\r\n -->\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e: <em><a href=\"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219265919400036\">Facial colorings of plane graphs<\/a><\/em>, Journal of Interconnection Networks 19 (1) (2019) 1940003.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, P. \u0160ugerek, J. Valiska: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=2135\">Facial [r,s,t]-colorings of plane graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 39 (3) (2019) 629\u00a0\u2013 645.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, P. \u0160ugerek, J. Valiska: <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X18305699\">Facial packing vertex-coloring of subdivided plane graphs<\/a><\/em>, Discrete Applied Mathematics 257 (2019) 95\u00a0\u2013 100.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, J. Valiska: <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X18301896\">Facial L(2,1)-edge-labelings of trees<\/a><\/em>, Discrete Applied Mathematics 247 (2018) 357\u00a0\u2013 366.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, M. Voigt: <em><a href=\"http:\/\/www.opuscula.agh.edu.pl\/vol38\/6\/art\/opuscula_math_3837.pdf\">Zig-zag facial total-coloring of plane graphs<\/a><\/em>, Opuscula Mathematica 38 (6) (2018) 819 \u2013 827.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, J. Valiska: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=2036\">Conflict-free connections of graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 38 (4) (2018) 911 \u2013 920.<\/li>\r\n<li>J. Bucko, <strong> J. Czap<\/strong>: <em><a href=\"https:\/\/ijpam.eu\/contents\/2017-117-1\/18\/18.pdf\">Another step towards determining the hit number of subdivided stars<\/a><\/em>, International Journal of Pure and Applied Mathematics 117 (1) (2017) 247\u00a0\u2013 254.<\/li>\r\n<li><strong>J. Czap<\/strong>, S. Jendro\u013e: <em><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0012365X16302576\">Facially-constrained colorings of plane graphs: A survey<\/a><\/em>, Discrete Mathematics 340 (2017) 2691\u00a0\u2013 2703.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, R. Sot\u00e1k: <em><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X17303049\">Facial anagram-free edge-coloring of plane graphs<\/a><\/em>, Discrete Applied Mathematics 230 (2017) 151\u00a0\u2013 155.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. \u0160ugerek: <em><a href=\"http:\/\/www.ijpam.eu\/contents\/2017-115-1\/9\/9.pdf\">Facial total-coloring of bipartite plane graphs<\/a><\/em>, International Journal of Pure and Applied Mathematics 115 (1) (2017) 115\u00a0\u2013 121.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, J. Valiska: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1921\">WORM colorings of plane graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 37 (2) (2017) 353\u00a0\u2013 368.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. \u0160ugerek:<em> <a href=\"http:\/\/journal.pmf.ni.ac.rs\/filomat\/index.php\/filomat\/article\/view\/2057\/1698\">Drawing graph joins in the plane with restrictions on crossings<\/a><\/em>, Filomat 31 (2) (2017) 363\u00a0\u2013 370.<\/li>\r\n<li>J. Bucko, <strong> J. Czap<\/strong>: <em><a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2016\/ams-49-52-2016\/p\/czapAMS49-52-2016.pdf\">Structural theorem in 3-polytopes with minimum degree five<\/a><\/em>, Applied Mathematical Sciences 10 (49) (2016) 2437\u00a0\u2013 2442.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e: <em><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X1630227X\">Facial packing edge-coloring of plane graphs<\/a><\/em>, Discrete Applied Mathematics 213 (2016) 71\u00a0\u2013 75.<\/li>\r\n<li><strong> J. Czap<\/strong>, J. Przyby\u0142o, E. \u0160krabul&#8217;\u00e1kov\u00e1: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1845\">On an extremal problem in the class of bipartite 1-planar graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 36 (1) (2016) 59\u00a0\u2013 69.<\/li>\r\n<li><strong> J. Czap<\/strong>, J. Ivan\u010do, P. \u0160ugerek: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1842\">M2-edge colorings of cacti and graph joins<\/a><\/em>, Discussiones Mathematicae Graph Theory 36 (1) (2016) 141\u00a0\u2013 151.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/amc-journal.eu\/index.php\/amc\/article\/view\/609\/833\">Edge looseness of plane graphs<\/a><\/em>, Ars Mathematica Contemporanea 9 (2) (2015) 289\u00a0\u2013\u00a0296.<\/li>\r\n<li>J. Bucko, <strong> J. Czap<\/strong>: <em><a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2015\/ams-109-112-2015\/p\/czapAMS109-112-2015.pdf\">1-planar lexicographic products of graphs<\/a><\/em>, Applied Mathematical Sciences 9 (109) (2015) 5441\u00a0\u2013 5449.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e: <em><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X15002346\">Facial edge ranking of plane graphs<\/a><\/em>, Discrete Applied Mathematics 194 (2015) 60\u00a0\u2013 64.<\/li>\r\n<li>T. B\u00e1lint, <strong> J. Czap<\/strong>: <em><a href=\"http:\/\/link.springer.com\/article\/10.1007\/s00373-014-1472-7\">Facial parity 9-edge-coloring of outerplane graphs<\/a><\/em>, Graphs and Combinatorics 31 (5) (2015) 1177\u00a0\u2013 1187.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. \u0160ugerek:<em> <a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2015\/ams-77-80-2015\/p\/czapAMS77-80-2015.pdf\">Mi-edge colorings of complete graphs<\/a><\/em>, Applied Mathematical Sciences 9 (77) (2015) 3835\u00a0\u2013 3842.<\/li>\r\n<li><strong> J. Czap<\/strong>:<em> <a href=\"https:\/\/www.opuscula.agh.edu.pl\/vol35\/3\/art\/opuscula_math_3519.pdf\">A note on M2-edge colorings of graphs<\/a><\/em>, Opuscula Mathematica 35 (3) (2015) 287\u00a0\u2013 291.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. Hud\u00e1k, T. Madaras:<em> <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10114-014-4017-3\">Joins of 1-planar graphs<\/a><\/em>, Acta Mathematica Sinica, English Series 30 (11) (2014) 1867\u00a0\u2013 1876.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. \u0160ugerek:<em> <a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2014\/ams-93-96-2014\/czapAMS93-96-2014.pdf\">Face-distinguishing facially-proper entire-labeling of plane graphs<\/a><\/em>, Applied Mathematical Sciences 8 (96) (2014) 4767\u00a0\u2013 4774.<\/li>\r\n<li><strong> J. Czap<\/strong>, J. Harant, D. Hud\u00e1k:<em> <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X12004258\">An upper bound on the sum of powers of the degrees of simple 1-planar graphs<\/a><\/em>, Discrete Applied Mathematics 165 (2014) 146\u00a0\u2013 151.<\/li>\r\n<li>K. Budajov\u00e1, <strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.ijpam.eu\/contents\/2013-88-2\/1\/1.pdf\">M2-edge coloring and maximum matching of graphs<\/a><\/em>, International Journal of Pure and Applied Mathematics 88 (2) (2013) 161\u00a0\u2013 167.<\/li>\r\n<li><strong> J. Czap<\/strong>, Zs. Tuza: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1690\">Decompositions of plane graphs under parity constrains given by faces<\/a><\/em>, Discussiones Mathematicae Graph Theory 33 (3) (2013) 521\u00a0\u2013 530.<\/li>\r\n<li><strong> J. Czap<\/strong>, P. Mih\u00f3k: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1685\">Fractional Q-coloring of graphs<\/a><\/em>, Discussiones Mathematicae Graph Theory 33 (3) (2013) 509\u00a0\u2013 519.<\/li>\r\n<li>J. Bar\u00e1t, <strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/jgt.21695\/pdf\">Facial nonrepetitive vertex coloring of plane graphs<\/a><\/em>, Journal of Graph Theory 74 (1) (2013) 115\u00a0\u2013 121.<\/li>\r\n<li><strong> J. Czap<\/strong>, D. Hud\u00e1k:<em> <a href=\"http:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v20i2p54\/pdf\">On drawings and decompositions of 1-planar graphs<\/a><\/em>, The Electronic Journal of Combinatorics 20 (2) (2013) #P54.<\/li>\r\n<li>K. Budajov\u00e1, <strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.ijpam.eu\/contents\/2013-85-1\/11\/11.pdf\">Facial r-acyclic edge-colorings of plane graphs<\/a><\/em>, International Journal of Pure and Applied Mathematics 85 (1) (2013) 141\u00a0\u2013 147.<\/li>\r\n<li><strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0020019013001208\">A note on total colorings of 1-planar graphs<\/a><\/em>, Information Processing Letters 113 (14-16) (2013) 516\u00a0\u2013 517.<\/li>\r\n<li>K. Budajov\u00e1, <strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2012\/ams-133-136-2012\/czapAMS133-136-2012.pdf\">Hit number of sparse subdivided stars<\/a><\/em>, Applied Mathematical Sciences 6 (136) (2012) 6753\u00a0\u2013 6759.<\/li>\r\n<li>K. Budajov\u00e1, <strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2012\/ams-113-116-2012\/czapAMS113-116-2012.pdf\">Hit number of directed bipartite graphs<\/a><\/em>, Applied Mathematical Sciences 6 (114) (2012) 5689\u00a0\u2013 5693.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, F. Kardo\u0161, and R. Sot\u00e1k: <em><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0012365X12001598\">Facial parity edge colouring of plane pseudographs<\/a><\/em>, Discrete Mathematics 312 (17) (2012) 2735\u00a0\u2013\u00a02740.<\/li>\r\n<li><strong> J. Czap<\/strong>: <em><a href=\"https:\/\/amc-journal.eu\/index.php\/amc\/article\/view\/228\/169\">Facial parity edge coloring of outerplane graphs<\/a><\/em>, Ars Mathematica Contemporanea 5 (2) (2012) 285\u00a0\u2013\u00a0289.<\/li>\r\n<li><strong> J. Czap<\/strong>, D. Hud\u00e1k:<em> <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0166218X11004641\">1-planarity of complete multipartite graphs<\/a><\/em>, Discrete Applied Mathematics 160 (4-5) (2012) 505 \u2013 512.<\/li>\r\n<li><strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0012365X11002664\">Parity vertex colouring of outerplane graphs<\/a><\/em>, Discrete Mathematics 311 (21) (2011) 2570\u00a0\u2013 2573.<\/li>\r\n<li><strong> J. Czap<\/strong>:<em> <a href=\"http:\/\/www.m-hikari.com\/ams\/ams-2011\/ams-49-52-2011\/czapAMS49-52-2011.pdf\">Mi-edge colorings of graphs<\/a><\/em>, Applied Mathematical Sciences 5 (49) (2011) 2437\u00a0\u2013 2442.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, and M. Voigt:<em> <a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0012365X10004620\">Parity vertex colouring of plane graphs<\/a><\/em>, Discrete Mathematics 311 (6) (2011) 512\u00a0\u2013 520.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, and F. Kardo\u0161: <em><a href=\"https:\/\/amc-journal.eu\/index.php\/amc\/article\/view\/129\/135\">Facial parity edge colouring<\/a><\/em>, Ars Mathematica Contemporanea 4 (2) (2011) 255\u00a0\u2013\u00a0269.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, and F. Kardo\u0161: <em><a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1567\">On the strong parity chromatic number<\/a><\/em>, Discussiones Mathematicae Graph Theory 31 (3) (2011) 587 \u2013 600.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e, F. Kardo\u0161, and J. Mi\u0161kuf: <em><a href=\"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-010-0961-6\">Looseness of plane graphs<\/a><\/em>, Graphs and Combinatorics 27 (1) (2011) 73\u00a0\u2013\u00a085.<\/li>\r\n<li><strong> J. Czap<\/strong>, S. Jendro\u013e:<em> <a href=\"https:\/\/www.dmgt.uz.zgora.pl\/publish\/pdf.php?doi=1462\">Colouring vertices of plane graphs under restrictions given by faces<\/a><\/em>, Discussiones Mathematicae Graph Theory 29 (3) (2009) 521 \u2013 543.<\/li>\r\n<\/ol>\r\n<h4><a name=\"project\"><\/a>Projekty<\/h4>\r\n<p>&nbsp;<\/p>\r\n<ul>\r\n<li>APVV-23-0191, <em> Farebnos\u0165 a \u0161trukt\u00fara plan\u00e1rnych, vnoren\u00fdch a plan\u00e1rno-pr\u00edbuzn\u00fdch grafov<\/em>, 2024 \u2013 2028<\/li>\r\n<li>APVV-19-0153, <em>Vnoren\u00e9 grafy &#8211; zafarbenia a \u0161trukt\u00fara<\/em>, 2020 \u2013 2024<\/li>\r\n<li>APVV-15-0116, <em>\u0160truktur\u00e1lne a chromatick\u00e9 charakteristiky grafov<\/em>, 2016 \u2013 2020<\/li>\r\n<li>APVV-0007-07, <em>Vnorenia, zafarbenia a\u00a0ohodnotenia grafov<\/em>, 2008 \u2013 2010<\/li>\r\n<li>VEGA 1\/0201\/19, <em>Syst\u00e9my pre podporu rozhodovania a business intelligence v r\u00e1mci sie\u0165ovej ekonomiky<\/em>, 2019 \u2013 2021<\/li>\r\n<li>VEGA 1\/0945\/12, <em>Modely bezpe\u010dnosti distribuovan\u00fdch syst\u00e9mov poskytuj\u00facich elektronick\u00e9 slu\u017eby<\/em>, 2012 \u2013 2013<\/li>\r\n<li>VEGA 1\/1042\/12, <em>Reakcie akciov\u00fdch trhov na invest\u00edcie do informa\u010dn\u00fdch a komunika\u010dn\u00fdch technol\u00f3gi\u00ed na pr\u00edklade trhov v krajin\u00e1ch Vy\u0161ehradskej \u0161tvorky<\/em>, 2012 \u2013 2013<\/li>\r\n<li>VEGA 1\/3004\/06, <em>\u0160trukt\u00fara, vnorenia, zafarbenia a\u00a0ohodnotenia grafov<\/em>, 2006 \u2013 2008<\/li>\r\n<\/ul>\r\n<p>&nbsp;<\/p>\r\n<h4><a name=\"contact\"><\/a>Kontakt<\/h4>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><b>Adresa<\/b><\/td>\r\n<td><b>Kancel\u00e1ria<\/b><\/td>\r\n<td><b>Telef\u00f3n<\/b><\/td>\r\n<td><b>E-mail<\/b><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Technick\u00e1 univerzita v Ko\u0161iciach\r\n<p>N\u011bmcovej 32, 040 01 Ko\u0161ice<\/p>\r\n<\/td>\r\n<td>\u010c\u00edslo dver\u00ed: 212<\/td>\r\n<td>055\/602 3273<\/td>\r\n<td>julius.czap@tuke.sk<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n\r\n\r\n\r\n<p class=\"wp-block-paragraph\">&nbsp;<\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>Pedagogick\u00e1 \u010dinnos\u0165 Publik\u00e1cie Projekty Kontakt Pedagogick\u00e1 \u010dinnos\u0165 Cvi\u010denia: Aplikovan\u00e1 te\u00f3ria grafov v ekon\u00f3mii Matematika I Matematika II Predn\u00e1\u0161ky: Aplikovan\u00e1 te\u00f3ria grafov v ekon\u00f3mii Konzulta\u010dn\u00e9 hodiny&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"class_list":["post-279","page","type-page","status-publish","hentry","no-post-thumbnail"],"_links":{"self":[{"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/pages\/279","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/comments?post=279"}],"version-history":[{"count":145,"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/pages\/279\/revisions"}],"predecessor-version":[{"id":4111,"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/pages\/279\/revisions\/4111"}],"wp:attachment":[{"href":"https:\/\/kamahi.ekf.tuke.sk\/index.php\/wp-json\/wp\/v2\/media?parent=279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}