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

June 27, 2024 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Ian DeHaan, Zachary Friggstad arXiv ID 2406.18835 Category cs.DS: Data Structures & Algorithms Citations 2 Venue arXiv.org Last Checked 4 months ago
Abstract
We give a $(1.796+Ξ΅)$-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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