English

On Star Coloring of Splitting Graphs

Combinatorics 2017-05-29 v1

Abstract

In this paper, we consider the problem of a star coloring. In general case the problems in NP-complete. We establish the star chromatic number for splitting graph of complete and complete bipartite graphs, as well of paths and cycles. Our proofs are constructive, so they lead to appropriate star colorings of graphs under consideration.

Keywords

Cite

@article{arxiv.1705.09357,
  title  = {On Star Coloring of Splitting Graphs},
  author = {Hanna Furmańczyk and Kowsalya V and Vernold Vivin J},
  journal= {arXiv preprint arXiv:1705.09357},
  year   = {2017}
}
R2 v1 2026-06-22T19:59:29.461Z