3 papers
math.CO2025
On -colorability of -free graphs
Nadzieja Hodur, Monika Pilśniak, Magdalena Prorok +1
The -colorability problem is a well-known NP-complete problem and it remains NP-complete for -free graphs, where a is the graph consisting of a with two penda…
cs.CC2025
Finding large -colorable induced subgraphs in (bull, chair)-free and (bull,E)-free graphs
Nadzieja Hodur, Monika Pilśniak, Magdalena Prorok +1
We study the Max Partial -Coloring problem, where we are given a vertex-weighted graph, and we ask for a maximum-weight induced subgraph that admits a proper -coloring. For $…
math.CO2024
On 3-colourability of -free graphs
Nadzieja Hodur, Monika Pilśniak, Magdalena Prorok +1
The -colourability problem is a well-known NP-complete problem and it remains NP-complete for -free graphs, where is the graph consisting of with two pendant…