Aneta Pokorná

dblp:278/8263 · DBLP profile ↗
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4ranked-venue papers
0as first author
4since 2021 · last 2026
0000-0002-7104-8664ORCID · corroborated

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Theory of computation · 4 · 4 since 2021
YearPublicationVenuePosition
2026 Structure of betweenness uniform graphs with low values of betweenness centrality
Babak Ghanbari, David Hartman, Vít Jelínek, Aneta Pokorná, Robert Sámal, Pavel Valtr 0001
Discret. Appl. Math.4
2024 On the connectivity and the diameter of betweenness-uniform graphs
David Hartman, Aneta Pokorná, Pavel Valtr 0001
Discret. Appl. Math.2
2022 On 3-Coloring of (2P4, C5)-Free Graphs
Vít Jelínek, Tereza Klimosová, Tomás Masarík, Jana Masaríková, Aneta Pokorná
Algorithmica5
2021 On 3-Coloring of (2P4, C5)-Free Graphs
abstract
Abstract The 3-coloring of hereditary graph classes has been a deeply-researched problem in the last decade. A hereditary graph class is characterized by a (possibly infinite) list of minimal forbidden induced subgraphs $$H_1,H_2,\ldots $$ H 1 , H 2 , … ; the graphs in the class are called $$(H_1,H_2,\ldots )$$ ( H 1 , H 2 , … ) -free. The complexity of 3-coloring is far from being understood, even for classes defined by a few small forbidden induced subgraphs. For H-free graphs, the complexity is settled for any H on up to seven vertices. There are only two unsolved cases on eight vertices, namely $$2P_4$$ 2 P 4 and $$P_8$$ P 8 . For $$P_8$$ P 8 -free graphs, some partial results are known, but to the best of our knowledge, $$2P_4$$ 2 P 4 -free graphs have not been explored yet. In this paper, we show that the 3-coloring problem is polynomial-time solvable on $$(2P_4,C_5)$$ ( 2 P 4 , C 5 ) -free graphs.
Vít Jelínek, Tereza Klimosová, Tomás Masarík, Jana Masaríková, Aneta Pokorná
WG5