Relation between Center Coloring and the other Colorings
Abstract
In this paper, center coloring and center coloring number are defined, some bounds are established for the center coloring number of a graph in terms of other graphical coloring parameters, and a polynomial time algorithm is proposed in order to calculate the center coloring of a graph.
Keywords
References
- Aldous, J. M. & Wilson, R. J. (2006). Graphs and Applications, Springer, Great Britain.
- Buckley, F. & Harary, F. (1990). Distance in Graphs, Addision-Wesley Publishing Comp., California USA.
- Chartrand, G. & Lesniak, L. (2005). Graphs & Digraphs, Chapman & Hall/CRC Press, USA.
- Chartrand, G., Okamoto F., Rasmussen C. W. & Zhang P. (2009). The Set Chromatic Number of a Graph, Discussiones Mathematicae Graph Theory, 29, 545-561.
- Immelman, Y. (2007). On The (Upper) Line-Distinguishing and (Upper) Harmonious Chromatic Numbers of a Graph, Dissertation, University of Johannesburg Faculty of Science.
- Kubale, M. (2004). Contemporary Mathematics 352 Graph Colorings, American Mathematical Society, USA. Li, X. & Sun, Y. (2012). Rainbow Connections of Graphs, Springer, London.
- Miller, Z. & Pritikin, D. (1991). The Harmonious coloring number of a graph, Discrete Mathematics, 93, 211-228.
- Vernold, V. J. & Akbar, A. M. M. (2009). On Harmonious Coloring of Middle Graph of and , Note di Matematica, 29, 201-211.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 4, 2018
Submission Date
August 8, 2017
Acceptance Date
December 14, 2017
Published in Issue
Year 2018 Volume: 3 Number: 1