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Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing

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Abstract

In the Co-path Packing (resp., Co-path/cycle Packing) problem, the input is a graph G and an integer k, and the goal is to decide whether there is a set of at most k vertices whose removal from G results in a graph which is a collection of induced paths (resp., induced paths and cycles). In this paper we give deterministic \(O^*(3^k)\)-time algorithms for Co-path Packing and Co-path/cycle Packing.

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Correspondence to Dekel Tsur.

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Tsur, D. Faster deterministic algorithms for Co-path Packing and Co-path/cycle Packing. J Comb Optim 44, 3701–3710 (2022). https://doi.org/10.1007/s10878-022-00917-3

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