Research Article
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On irregular coloring of wheel related graphs

Year 2019, Volume: 68 Issue: 2, 1462 - 1472, 01.08.2019
https://doi.org/10.31801/cfsuasmas.539363
https://izlik.org/JA87HZ75NZ

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.

References

  • Anderson, M. Vitray, R. and Yellen, J., Irregular colorings of regular graphs, Discrete Mathematics, 312, No. 15, (2012), 2329-2336.
  • 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.
  • Harary, F., Graph Theory, Narosa Publishing home, New Delhi, 1969.
  • Radcliffe, M. and Zhang, P., Irregular coloring of graphs, Bull. Inst. Combin. Appl.,49, (2007), 41-59.
  • Radcliffe, M. and Zhang, P., On Irregular coloring of graphs, AKCE. J. Graphs. Combin.,3, No. 2, (2006),175-191.
  • 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.

Year 2019, Volume: 68 Issue: 2, 1462 - 1472, 01.08.2019
https://doi.org/10.31801/cfsuasmas.539363
https://izlik.org/JA87HZ75NZ

Abstract

References

  • Anderson, M. Vitray, R. and Yellen, J., Irregular colorings of regular graphs, Discrete Mathematics, 312, No. 15, (2012), 2329-2336.
  • 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.
  • Harary, F., Graph Theory, Narosa Publishing home, New Delhi, 1969.
  • Radcliffe, M. and Zhang, P., Irregular coloring of graphs, Bull. Inst. Combin. Appl.,49, (2007), 41-59.
  • Radcliffe, M. and Zhang, P., On Irregular coloring of graphs, AKCE. J. Graphs. Combin.,3, No. 2, (2006),175-191.
  • 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.
There are 6 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

A. Rohini This is me 0000-0002-3677-5276

M. Venkatachalam 0000-0001-5051-4104

Submission Date February 5, 2018
Acceptance Date June 27, 2018
Publication Date August 1, 2019
DOI https://doi.org/10.31801/cfsuasmas.539363
IZ https://izlik.org/JA87HZ75NZ
Published in Issue Year 2019 Volume: 68 Issue: 2

Cite

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

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

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