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arXiv · 2202.00854

Modification Problems toward Proper (Helly) Circular-arc Graphs

Yixin Cao·Jianxin Wang·Hanchun Yuan
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Abstract

We present a $9^k\cdot n^{O(1)}$-time algorithm for the proper circular-arc vertex deletion problem, resolving an open problem of van 't Hof and Villanger [Algorithmica 2013] and Crespelle et al. [arXiv:2001.06867]. Our structural study also implies parameterized algorithms for modification problems toward proper Helly circular-arc graphs.

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Yixin Cao, Jianxin Wang, Hanchun Yuan. 2022-02-02. Modification Problems toward Proper (Helly) Circular-arc Graphs. https://arxiv.org/abs/2202.00854

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