Research Article

Relation between Center Coloring and the other Colorings

Volume: 3 Number: 1 January 4, 2018
EN

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

  1. Aldous, J. M. & Wilson, R. J. (2006). Graphs and Applications, Springer, Great Britain.
  2. Buckley, F. & Harary, F. (1990). Distance in Graphs, Addision-Wesley Publishing Comp., California USA.
  3. Chartrand, G. & Lesniak, L. (2005). Graphs & Digraphs, Chapman & Hall/CRC Press, USA.
  4. Chartrand, G., Okamoto F., Rasmussen C. W. & Zhang P. (2009). The Set Chromatic Number of a Graph, Discussiones Mathematicae Graph Theory, 29, 545-561.
  5. Immelman, Y. (2007). On The (Upper) Line-Distinguishing and (Upper) Harmonious Chromatic Numbers of a Graph, Dissertation, University of Johannesburg Faculty of Science.
  6. Kubale, M. (2004). Contemporary Mathematics 352 Graph Colorings, American Mathematical Society, USA. Li, X. & Sun, Y. (2012). Rainbow Connections of Graphs, Springer, London.
  7. Miller, Z. & Pritikin, D. (1991). The Harmonious coloring number of a graph, Discrete Mathematics, 93, 211-228.
  8. 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

APA
Ors Yorgancioglu, Z., Dundar, P., & Gursoy, M. U. (2018). Relation between Center Coloring and the other Colorings. Natural and Engineering Sciences, 3(1), 28-37. https://doi.org/10.28978/nesciences.379317
AMA
1.Ors Yorgancioglu Z, Dundar P, Gursoy MU. Relation between Center Coloring and the other Colorings. NESciences. 2018;3(1):28-37. doi:10.28978/nesciences.379317
Chicago
Ors Yorgancioglu, Zeynep, Pinar Dundar, and Mehmet Umit Gursoy. 2018. “Relation Between Center Coloring and the Other Colorings”. Natural and Engineering Sciences 3 (1): 28-37. https://doi.org/10.28978/nesciences.379317.
EndNote
Ors Yorgancioglu Z, Dundar P, Gursoy MU (January 1, 2018) Relation between Center Coloring and the other Colorings. Natural and Engineering Sciences 3 1 28–37.
IEEE
[1]Z. Ors Yorgancioglu, P. Dundar, and M. U. Gursoy, “Relation between Center Coloring and the other Colorings”, NESciences, vol. 3, no. 1, pp. 28–37, Jan. 2018, doi: 10.28978/nesciences.379317.
ISNAD
Ors Yorgancioglu, Zeynep - Dundar, Pinar - Gursoy, Mehmet Umit. “Relation Between Center Coloring and the Other Colorings”. Natural and Engineering Sciences 3/1 (January 1, 2018): 28-37. https://doi.org/10.28978/nesciences.379317.
JAMA
1.Ors Yorgancioglu Z, Dundar P, Gursoy MU. Relation between Center Coloring and the other Colorings. NESciences. 2018;3:28–37.
MLA
Ors Yorgancioglu, Zeynep, et al. “Relation Between Center Coloring and the Other Colorings”. Natural and Engineering Sciences, vol. 3, no. 1, Jan. 2018, pp. 28-37, doi:10.28978/nesciences.379317.
Vancouver
1.Zeynep Ors Yorgancioglu, Pinar Dundar, Mehmet Umit Gursoy. Relation between Center Coloring and the other Colorings. NESciences. 2018 Jan. 1;3(1):28-37. doi:10.28978/nesciences.379317