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arXiv · 2205.10834

On the Parameterized Complexity of the $s$-Club Cluster Edge Deletion Problem

Fabrizio Montecchiani·Giacomo Ortali·Tommaso Piselli·Alessandra Tappini
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Abstract

We study the parameterized complexity of the $s$-Club Cluster Edge Deletion problem: Given a graph $G$ and two integers $s \ge 2$ and $k \ge 1$, is it possible to remove at most $k$ edges from $G$ such that each connected component of the resulting graph has diameter at most $s$? This problem is known to be NP-hard already when $s = 2$. We prove that it admits a fixed-parameter tractable algorithm when parameterized by $s$ and the treewidth of the input graph.

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Fabrizio Montecchiani, Giacomo Ortali, Tommaso Piselli, Alessandra Tappini. 2022-05-22. On the Parameterized Complexity of the $s$-Club Cluster Edge Deletion Problem. https://arxiv.org/abs/2205.10834

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