Research Article

On irregular coloring of wheel related graphs

Volume: 68 Number: 2 August 1, 2019
EN

On irregular coloring of wheel related graphs

Abstract

An irregular coloring is a proper coloring in which distinct vertices have different color codes. In this paper, we obtain the irregular chromatic number for middle graph, total graph, central graph and line graph of wheel graph, helm graph, gear graph and closed helm graph.

Keywords

References

  1. Anderson, M. Vitray, R. and Yellen, J., Irregular colorings of regular graphs, Discrete Mathematics, 312, No. 15, (2012), 2329-2336.
  2. Michalak, D., On middle and total graphs with coarseness number equal 1, Springer Verlag Graph Theory, Lagow proceedings, Berlin Heidelberg, New York, Tokyo, (1981), 139-150.
  3. Harary, F., Graph Theory, Narosa Publishing home, New Delhi, 1969.
  4. Radcliffe, M. and Zhang, P., Irregular coloring of graphs, Bull. Inst. Combin. Appl.,49, (2007), 41-59.
  5. Radcliffe, M. and Zhang, P., On Irregular coloring of graphs, AKCE. J. Graphs. Combin.,3, No. 2, (2006),175-191.
  6. Vivin, J. V., Harmonious coloring of total graphs, n-leaf, central graphs and circumdetic graphs, Bharathiar University, Ph.D Thesis, Coimbatore, India. 2007. Vivin, J.V., Venkatachalam, M. and Akbar, M. M. A., 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

August 1, 2019

Submission Date

February 5, 2018

Acceptance Date

June 27, 2018

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Rohini, A., & Venkatachalam, M. (2019). On irregular coloring of wheel related graphs. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1462-1472. https://doi.org/10.31801/cfsuasmas.539363
AMA
1.Rohini A, Venkatachalam M. On irregular coloring of wheel related graphs. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1462-1472. doi:10.31801/cfsuasmas.539363
Chicago
Rohini, A., and M. Venkatachalam. 2019. “On Irregular Coloring of Wheel Related Graphs”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 1462-72. https://doi.org/10.31801/cfsuasmas.539363.
EndNote
Rohini A, Venkatachalam M (August 1, 2019) On irregular coloring of wheel related graphs. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 1462–1472.
IEEE
[1]A. Rohini and M. Venkatachalam, “On irregular coloring of wheel related graphs”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 1462–1472, Aug. 2019, doi: 10.31801/cfsuasmas.539363.
ISNAD
Rohini, A. - Venkatachalam, M. “On Irregular Coloring of Wheel Related Graphs”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 1462-1472. https://doi.org/10.31801/cfsuasmas.539363.
JAMA
1.Rohini A, Venkatachalam M. On irregular coloring of wheel related graphs. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:1462–1472.
MLA
Rohini, A., and M. Venkatachalam. “On Irregular Coloring of Wheel Related Graphs”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 1462-7, doi:10.31801/cfsuasmas.539363.
Vancouver
1.A. Rohini, M. Venkatachalam. On irregular coloring of wheel related graphs. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):1462-7. doi:10.31801/cfsuasmas.539363

Cited By

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

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