English

On the equitable vertex arboricity of complete tripartite graphs

Combinatorics 2015-06-12 v1

Abstract

The equitable coloring problem, introduced by Meyer in 1973, has received considerable attention and research. Recently, Wu et al. introduced the concept of equitable (t,k)-tree-coloring, which can be viewed as a generalization of proper equitable t-coloring. The strong equitable vertex k-arboricity of complete bipartite equipartition graphs was investigated in 2013. In this paper, we study the exact value of the strong equitable vertex 3-arboricity of complete equipartition tripartite graphs.

Keywords

Cite

@article{arxiv.1506.03530,
  title  = {On the equitable vertex arboricity of complete tripartite graphs},
  author = {Zhiwei Guo and Haixing Zhao and Yaping Mao},
  journal= {arXiv preprint arXiv:1506.03530},
  year   = {2015}
}

Comments

22 pages. arXiv admin note: text overlap with arXiv:1506.00132