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arXiv · 1907.04906

The Almost-Disjoint 2-Path Decomposition Problem

Annika Thome·Matthias Walter
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Abstract

We consider the problem of decomposing a given (di)graph into paths of length 2 with the additional restriction that no two such paths may have more than one vertex in common. We establish its NP-hardness by a reduction from 3-SAT, characterize (di)graph classes for which the problem can be be reduced to the Stable-set problem on claw-free graphs and describe a dynamic program for solving it for series-parallel digraphs.

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Annika Thome, Matthias Walter. 2019-07-10. The Almost-Disjoint 2-Path Decomposition Problem. https://arxiv.org/abs/1907.04906

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