Exact Algorithms for Edge Deletion to Cactus

Fuente: arXiv
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Hauptverfasser: Akhtar, Sheikh Shakil, Philip, Geevarghese
Format: Preprint
Veröffentlicht: 2026
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author Akhtar, Sheikh Shakil
Philip, Geevarghese
author_facet Akhtar, Sheikh Shakil
Philip, Geevarghese
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_27655
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Exact Algorithms for Edge Deletion to Cactus
Akhtar, Sheikh Shakil
Philip, Geevarghese
Data Structures and Algorithms
Computational Complexity
Discrete Mathematics
Combinatorics
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.
title Exact Algorithms for Edge Deletion to Cactus
topic Data Structures and Algorithms
Computational Complexity
Discrete Mathematics
Combinatorics
url https://arxiv.org/abs/2603.27655