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math.CO2024
Erdős-Pósa property of tripods in directed graphs
Marcin Briański, Meike Hatzel, Karolina Okrasa +1
Let be a directed graphs with distinguished sets of sources and sinks . A tripod in is a subgraph consisting of the union of two --…
math.CO2024
Minimal obstructions to -coloring in hereditary graph classes
Jan Goedgebeur, Jorik Jooken, Karolina Okrasa +2
For graphs and , an -coloring of is an edge-preserving mapping from to . Note that if is the triangle, then -colorings are equivalent to -color…
cs.DS2024
Tree decompositions meet induced matchings: beyond Max Weight Independent Set
Paloma T. Lima, Martin Milanič, Peter Muršič +3
For a tree decomposition of a graph , by we denote the size of a largest induced matching in all of whose edges intersect one bag of $\mathcal…