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arXiv · 2110.04933

A Faster Algorithm for Maximum Independent Set on Interval Filament Graphs

Darcy Best·Max Ward
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Abstract

We provide an algorithm requiring only $O(N^2)$ time to compute the maximum weight independent set of interval filament graphs. This also implies an $O(N^4)$ algorithm to compute the maximum weight induced matching of interval filament graphs. Both algorithms significantly improve upon the previous best complexities for these problems. Previously, the maximum weight independent set and maximum weight induced matching problems required $O(N^3)$ and $O(N^6)$ time respectively.

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Darcy Best, Max Ward. 2021-10-11. A Faster Algorithm for Maximum Independent Set on Interval Filament Graphs. https://arxiv.org/abs/2110.04933

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