3 papers
math.CO2026
An Erdős-Pósa theorem for induced packings of even cycles
Jungho Ahn, Lars Jaffke, O-joung Kwon +2
We show that for every graph and every positive integer , contains either vertex-disjoint even cycles with no edges between distinct cycles, or a set of $O(k^2\log k…
cs.DS2026
Odd Cycle Transversal on -free graphs
Esther Galby, Paloma T. de Lima, Andrea Munaro +1
\textsc{Odd Cycle Transversal} is a classic -hard graph optimization problem asking for a minimum-weight set of vertices whose deletion makes the input graph bipartite…
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…