Vertex-Domatic, Edge-Domatic and Total Domatic Number of Uniform Hypergraphs
Combinatorics
2020-09-08 v1 Discrete Mathematics
Abstract
E. J. Cockayne and S. T. Hedetniemi introduced the concept of domatic number of a graph. B. Zelinka extended the concept to the uniform hypergraphs. Further, B. Zelinka defined the concept of edge-domatic number and total edge-domatic number of a graph. In this paper, we investigate and prove some assertions in connection with vertex domatic number, edge-domatic number and total domatic number of some specific uniform hypergraphs.
Keywords
Cite
@article{arxiv.2009.02783,
title = {Vertex-Domatic, Edge-Domatic and Total Domatic Number of Uniform Hypergraphs},
author = {Smruti Prava Dash},
journal= {arXiv preprint arXiv:2009.02783},
year = {2020}
}
Comments
Submitted to "Information Processing Letters, Elsevier"