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arXiv · 1806.11009

Decomposing Claw-free Subcubic Graphs and $4$-Chordal Subcubic Graphs

Elham Aboomahigir·Milad Ahanjideh·Saieed Akbari
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Abstract

Hoffmann-Ostenhof's Conjecture states that the edge set of every connected cubic graph can be decomposed into a spanning tree, a matching and a $2$-regular subgraph. In this paper, we show that the conjecture holds for claw-free subcubic graphs and $4$-chordal subcubic graphs.

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Elham Aboomahigir, Milad Ahanjideh, Saieed Akbari. 2020-01-30. Decomposing Claw-free Subcubic Graphs and $4$-Chordal Subcubic Graphs. https://arxiv.org/abs/1806.11009

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