activity
20102026
most cited3-coloring triangle-free planar graphs with a precolored 9-cycle

5 citations · 8 across the 12 of their papers we have counts for

collaborators

14 papers

math.CO2026

Frugal coloring in planar graphs with maximum degree 4 and 5

Boštjan Brešar, Přemysl Holub, Marko Jakovac +1

A proper coloring of vertices of a graph is called -frugal if no color appears more than times in the neighborhood of any vertex of . While -frugal coloring coinci…

math.CO2024

-packing colorings of distance graphs with distance sets of cardinality

Boštjan Brešar, Jasmina Ferme, Přemysl Holub +2

For a non-decreasing sequence of positive integers, a partition of the vertex set of a graph into subsets , such that vertices in …

math.CO2021

Forbidden induced subgraphs for perfectness of claw-free graphs of independence number at least 4

Christoph Brause, Trung Duy Doan, Přemysl Holub +4

For every graph , we consider the class of all connected -free graphs which are distinct from an odd cycle and have independence number at least , and we show…

math.CO2020★ 1 cited

Star Edge-Coloring of Square Grids

Přemysl Holub, Borut Lužar, Erika Mihaliková +2

A star edge-coloring of a graph is a proper edge-coloring without bichromatic paths or cycles of length four. The smallest integer such that admits a star edge-coloring…

math.CO2020★ 2 cited

-packing chromatic vertex-critical graphs

Přemysl Holub, Marko Jakovac, Sandi Klavžar

For a non-decreasing sequence of positive integers , the {\em -packing chromatic number} of is the smallest integer such that the vertex s…

math.CO2019

On forbidden induced subgraphs for K_{1,3}-free perfect graphs

Christoph Brause, Přemysl Holub, Adam Kabela +3

Considering connected -free graphs with independence number at least , Chudnovsky and Seymour (2010) showed that every such graph, say , is -colourable where …