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cs.DS2026
QPTAS for MWIS and finding large sparse induced subgraphs in graphs with few independent long holes
Édouard Bonnet, Jadwiga Czyżewska, Tomáš Masařík +2
We present a quasipolynomial-time approximation scheme (QPTAS) for the Maximum Independent Set (\textsc{MWIS}) in graphs with a bounded number of pairwise vertex-disjoint and non-a…
cs.DS2026
Optimal Path Partitions in Subcubic and Almost-subcubic Graphs
Tomáš Masařík, Michał Włodarczyk, Mehmet Akif Yıldız
We consider the problem of partitioning the edges of a graph into as few paths as possible. This is a~subject of the classic conjecture of Gallai and a recurring topic in combinato…