Research Article

On irregular colorings of double wheel graph families

Volume: 68 Number: 1 February 1, 2019
EN

On irregular colorings of double wheel graph families

Abstract

An assignment of colors to the vertices of a graph, so that no two adjacent vertices get the same color is called a proper coloring. An irregular coloring of a graph is a proper vertex coloring that distinguishes vertices in the graph either by their own colors or by the colors of their neighbours. In this paper, we investigate the irregular chromatic number for the middle graph, total graph, central graph and line graph of double wheel graph.

Keywords

References

  1. Anderson, M., Vitray R. and Yellen, J., Irregular colorings of regular graphs, Discrete Mathematics, 312, No. 15, (2012), 2329-2336. Michalak, Danuta, On middle and total graphs with coarseness number equal 1, Springer Verlag Graph Theory, Lagow proceedings, Berlin Heidelberg, New York, Tokyo, (1981), 139-150.
  2. Harary, F., Graph Theory, Narosa Publishing home, New Delhi, 1969.
  3. Radcliffe, M. and Zhang, P., Irregular coloring of graphs, Bull. Inst. Combin. Appl.,49, (2007), 41-59.
  4. Radcliffe, M. and Zhang, P., On Irregular coloring of graphs, AKCE. J. Graphs. Combin.,3, No. 2, (2006),175-191.
  5. Le Bras, Ronan, Gomes, Carla P. and Selman, Bart, Double- Wheel Graphs are Graceful, Proceedings of the Twenty third International Joint Conference on Artificial Intelligence, (2013),587-593.
  6. Vernold Vivin, J., Harmonious coloring of total graphs, n-leaf, central graphs and circumdetic graphs, Bharathiar University, Ph.D Thesis, Coimbatore, India 2007.
  7. Vernold Vivin, J., Venkatachalam, M. and Akbar Ali, M. M., Achromatic coloring on double star graph families, International Journal of Mathematics Combinatorics, 3, (2009), 71-81.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

February 1, 2019

Submission Date

February 14, 2018

Acceptance Date

May 26, 2018

Published in Issue

Year 2019 Volume: 68 Number: 1

APA
Rohini, A., & Venkatachalam, M. (2019). On irregular colorings of double wheel graph families. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 944-949. https://doi.org/10.31801/cfsuasmas.490001
AMA
1.Rohini A, Venkatachalam M. On irregular colorings of double wheel graph families. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):944-949. doi:10.31801/cfsuasmas.490001
Chicago
Rohini, A., and M. Venkatachalam. 2019. “On Irregular Colorings of Double Wheel Graph Families”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (1): 944-49. https://doi.org/10.31801/cfsuasmas.490001.
EndNote
Rohini A, Venkatachalam M (February 1, 2019) On irregular colorings of double wheel graph families. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 944–949.
IEEE
[1]A. Rohini and M. Venkatachalam, “On irregular colorings of double wheel graph families”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 944–949, Feb. 2019, doi: 10.31801/cfsuasmas.490001.
ISNAD
Rohini, A. - Venkatachalam, M. “On Irregular Colorings of Double Wheel Graph Families”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 1, 2019): 944-949. https://doi.org/10.31801/cfsuasmas.490001.
JAMA
1.Rohini A, Venkatachalam M. On irregular colorings of double wheel graph families. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:944–949.
MLA
Rohini, A., and M. Venkatachalam. “On Irregular Colorings of Double Wheel Graph Families”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, Feb. 2019, pp. 944-9, doi:10.31801/cfsuasmas.490001.
Vancouver
1.A. Rohini, M. Venkatachalam. On irregular colorings of double wheel graph families. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Feb. 1;68(1):944-9. doi:10.31801/cfsuasmas.490001

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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