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Email:
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mirko.hornak@upjs.sk | |
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Homepage:
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https://www.upjs.sk/PF/zamestnanec/mirko.hornak | |
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Faculty:
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PF UPJŠ
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Pavol Jozef Šafárik University in Košice, Faculty of Science
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Department:
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ÚMAT
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Institute of Mathematics
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Office:
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Phone:
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ORCID ID:
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https://orcid.org/0000-0002-3588-8455 |
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Profile courses
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Graph theory - Discrete mathematics, third - doctoral degree
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Selected publications
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A note on a directed version of the 1-2-3 Conjecture, Mirko Horňák, Jakub Przybyło, Mariusz Woźniak, Discrete Applied Mathematics, ISSN 0166-218X, vol. 236 (2018), p. 472-476, DOI 10.1016/j.dam.2017.11.016, IF 1.139, Q2, number of citations 3. |
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On the palette index of complete bipartite graphs, Mirko Horňák, Juraj Hudák, Discussiones Mathematicae Graph Theory, ISSN 1234-3099, vol. 38, no. 2 (2018), p. 463-476, DOI 10.7151/dmgt.2015, IF 0.714, Q2, number of citations 8 |
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Facial incidence colorings of embedded multigraphs, Mirko Horňák, Stanislav Jendroľ, Roman Soták, Discussiones Mathematicae Graph Theory, ISSN 1234-3099, vol. 39, no. 1 (2019), p. 81-93, DOI 10.7151/dmgt.2050, IF 0.714, Q2, number of citations 0. |
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Facial unique-maximum edge and total coloring of plane graphs, Igor Fabrici, Mirko Horňák, Simona Rindošová, Discrete Applied Mathematics, ISSN 0166-218X, vol. 291 (2021), p. 171-179, DOI 10.1016/j.dam.2020.09.016, IF 1.139, Q2, number of citations 0. |
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The achromatic number of K_6 □ K_7 is 18, Mirko Horňák, Opuscula Mathematica, ISSN 1232-9274, roč. 41, č. 2 (2021), 163-185, DOI 10.7494/OpMath.2021.41.2.163, SNIP 0.772, Q2, number of citations 0. |
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Selected projects
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APVV-14-0403: Structural and chromatic characteristics of graphs, 2015 - 2019, investigator. https://www.apvv.sk/buxus/docs/agentura/publikacie/publikacia-2021-sk-A4.pdf |
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VEGA 1/0368/16: Graph colouring problems, 2016 - 2019, principal investigator. https://www.minedu.sk/vysledky-riesenia-skoncenych-projektov-vega/ |
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APVV-19-0153: Embedded graphs - colorings and structure, 2020 - until now, investigator. |
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VEGA 1/0574/21: Colorings of graphs with respect to local conditions, 2021 - until now, investigator. |
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KOSDIM (Košická Skupina Diskrétnej Matematiky = Košice Group of Discrete Mathematics), top research team, 2017 - until now, investigator. https://www.upjs.sk/vyskum/vedeckovyskumna-cinnost/spickove-timy/kosdim-tim/info/publikacie/ |
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International mobilities and visits
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Centre National de la Recherche Scientifique, Équipe de Recherche 175 - Combinatoire, Paris, France, 01.10.1979 - 27.03.1980, research fellowship
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Międzynarodowe centrum matematyczne im. Stefana Banacha, Warsaw, Poland, 14.09. - 18.12.1987, internship at the 30th semester of the centre (Combinatorics and Graph Theory)
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Université Scientifique et Médicale de Grenoble, Grenoble, France, 30.08. - 14.09.1991, Individual Mobility Grant in the frame of TEMPUS Scheme
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Université de Montréal, Montreal, Canada, 16.01. - 12.02.1993, invited scientific fellowship
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Technische Universität Ilmenau, Ilmenau, Germany, 28.10. - 08.11.1994, invited scientific fellowship
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Politecnico di Milano, Milan, Italy, 19.01. - 02.02.1996, invited lecture-scientific fellowship
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Keio University Yokohama, Yokohama, Japan, 17.01. - 31.01.1999, invited lecture-scientific fellowship
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Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 08.12. - 14.12.2002, workshop 0250 Algorithmische Graphentheorie
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Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Cracow, Poland, 26.10. - 30.10.2004, invited scientific fellowship
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Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany, 12.02. - 18.02.2006, workshop 0607 Algorithmic Graph Theory
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Organisational activities
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guarantor of the magister study programme Informatical Mathematics - Pavol Jozef Šafárik University in Košice, Faculty of Science, 2004 - 2010, 2013 - 2021
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guarantor of the doctoral study programme Discrete Mathematics - Pavol Jozef Šafárik University in Košice, Faculty of Science, 2005 - 2015
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principal guarantor of the doctoral study programme Discrete Mathematics - Pavol Jozef Šafárik University in Košice, Faculty of Science, 2015 - until now
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member - branch committee of the doctoral study in the study programme Discrete Mathematics,
Pavol Jozef Šafárik University in Košice, Faculty of Science, 2005 - 2015
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chair - branch committee of the doctoral study in the study programme Discrete Mathematics,
Pavol Jozef Šafárik University in Košice, Faculty of Science, 2015 - until now
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member - branch committee of the doctoral study in the study programme Discrete Mathematics,
Comenius University in Bratislava, Faculty of Mathematics, Physics and Informatics, 2005 - until now
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member - Editorial Board of the journal Discussiones Mathematicae Graph Theory (Poland), 1996 - until now
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member - Editorial Board of the journal Opuscula Mathematica (Poland), 2003 - until now
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Awards
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the third place in the Czechoslovak round of the Students' Scientific Conference, 1974
winner of the Competition of Scientific Papers of Young Slovak Mathematicians organised by the Union of Slovak Mathematicians and Physicists (JSMF), 1982 Honours for the outstanding pedagogic work, JSMF 1993 Meritorious Member of JSMF, 2002 Award of the Mayor of the City of Košice (delivered to the team of mathematicians led by Professor Jendroľ, 2002) Award of the Dean of the Faculty of Science of Pavol Jozef Šafárik University (PF UPJŠ) for the scientific research in the year 2006 President of Hereditarnia Club for the year 2014 Award of the Dean for the scientific research of teachers and scientific employees of PF UPJŠ in the year 2014 Bronze Medal of PF UPJŠ, 2018 |
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Projects
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Polyhedra, graphs and other combinatorial structures, VEGA 1/4377/97, vice-principal investigator, 1997 - 1999
Polyhedra, graphs and their properties, VEGA 1/7467/20, vice-principal investigator, 2000 - 2002 Structure, colourings and labellings of graphs, VEGA 1/0424/03, vice-principal investigator, 2003 - 2005 Methods of discrete mathematics and their applications, APVT-20-004104, investigator, 2005 - 2007 Structure, embeddings, colourings and labellings of graphs, VEGA 1/3004/06, vice-principal investigator, 2006 - 2008 Embeddings, colourings and labellings of graphs, APVV-0007-07, investigator, 2008 - 2010 Colourings, embeddings and structure of graphs, VEGA 1/0428/10, vice-principal investigator, 2010 - 2011 Polyhedral, structural and chromatic graph theory, APVV-0023-10, investigator, 2011 - 2014 Chromaticity and structure of graphs, VEGA 1/0652/12, principal investigator, 2012 - 2015 Structural and chromatic characteristics of gr,aphs, APVV-15-0116, investigator, 2016 - 2020 Graph colouring problems, VEGA 1/0368/16, principal investigator, 2016 - 2019 top research team KOSDIM (Košická Skupina Diskrétnej Matematiky = Košice Group of Discrete Mathematics), investigator, 2017 - until now Embedded graphs - colorings and structure, APVV-19-0153, investigator, 2020 - until now Colorings of graphs with respect to local conditions, VEGA 1/0574/21, investigator, 2021 - until now |
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International collaboration
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AGH University of Science and Technology Cracow (Poland)
Technische Universität Ilmenau (Germany) Technische Universität Bergakademie Freiberg (Germany) Politecnico di Milano (Italy) |
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Other
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successful doctoral students: RNDr. Attila Nagy, CSc. (supervisor specialist, 1996)
doc. RNDr. Roman Soták, PhD. (1997) RNDr. Štefan Pčola, PhD. (2006) RNDr. Erik Bruoth, PhD. (2008) RNDr. Jana Zlámalová, PhD. (2009) RNDr. Zuzana Kocková, PhD. (2010) last update 15.03.2022 |
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Interesting links
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Hobbies
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bridge
hiking |
