English

Hoffmann-Ostenhof's conjecture for claw-free cubic graphs

Combinatorics 2018-10-02 v1

Abstract

Hoffmann-Ostenhof's Conjecture states that states that the edge set of every connected cubic graph can be decomposed into a spanning tree, a matching and a 22-regular subgraph. In this paper, we show that the conjecture holds for claw-free cubic graphs.

Keywords

Cite

@article{arxiv.1810.00074,
  title  = {Hoffmann-Ostenhof's conjecture for claw-free cubic graphs},
  author = {Milad Ahanjideh and Elham Aboomahigir},
  journal= {arXiv preprint arXiv:1810.00074},
  year   = {2018}
}