Approximate Minimum Sum Colorings and Maximum $k$-Colorable Subgraphs of Chordal Graphs

Published 27 Jun 2024 in cs.DS | (2406.18835v1)

Abstract: We give a $(1.796+\epsilon)$-approximation for the minimum sum coloring problem on chordal graphs, improving over the previous 3.591-approximation by Gandhi et al. [2005]. To do so, we also design the first polynomial-time approximation scheme for the maximum $k$-colorable subgraph problem in chordal graphs.

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