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arXiv · 2603.27655

Exact Algorithms for Edge Deletion to Cactus

Sheikh Shakil Akhtar·Geevarghese Philip
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Abstract

We study two related problems on simple, un-directed graphs: Edge Deletion to Cactus and Spanning Tree to Cactus. Edge Deletion to Cactus has been known to be NP-hard on general graphs at least since 1988. We show improved exact algorithms for the former and a polynomial time algorithm for the latter.

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Sheikh Shakil Akhtar, Geevarghese Philip. 2026-03-29. Exact Algorithms for Edge Deletion to Cactus. https://arxiv.org/abs/2603.27655

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