English

Domination structure for number three

Combinatorics 2018-03-20 v3

Abstract

From a research of several recent papers, in the first part, we are concerned with domination number in cubic graphs and give a sufficient condition of Reed's conjecture. In the second part, from a perspective, we study the structure of a minimum dominating set in 3-connected graphs. It is derived from a collection of cycles with length 0 mod 3.

Keywords

Cite

@article{arxiv.1711.07587,
  title  = {Domination structure for number three},
  author = {Misa Nakanishi},
  journal= {arXiv preprint arXiv:1711.07587},
  year   = {2018}
}
R2 v1 2026-06-22T22:52:08.910Z