English

On Linial's Conjecture for Spine Digraphs

Combinatorics 2016-06-23 v1

Abstract

In this paper we introduce a superclass of split digraphs, which we call spine digraphs. Those are the digraphs D whose vertex set can be partitioned into two sets X and Y such that the subdigraph induced by X is traceable and Y is a stable set. We also show that Linial's Conjecture holds for spine digraphs.

Keywords

Cite

@article{arxiv.1606.06765,
  title  = {On Linial's Conjecture for Spine Digraphs},
  author = {Maycon Sambinelli and Cândida Nunes da Silva and Orlando Lee},
  journal= {arXiv preprint arXiv:1606.06765},
  year   = {2016}
}
R2 v1 2026-06-22T14:31:03.860Z