Research Article
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On irregular colorings of double wheel graph families

Year 2019, Volume: 68 Issue: 1, 944 - 949, 01.02.2019
https://doi.org/10.31801/cfsuasmas.490001
https://izlik.org/JA89RA47PF

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.

References

  • 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.
  • 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.
  • 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.
  • Vernold Vivin, J., Harmonious coloring of total graphs, n-leaf, central graphs and circumdetic graphs, Bharathiar University, Ph.D Thesis, Coimbatore, India 2007.
  • 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.

Year 2019, Volume: 68 Issue: 1, 944 - 949, 01.02.2019
https://doi.org/10.31801/cfsuasmas.490001
https://izlik.org/JA89RA47PF

Abstract

References

  • 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.
  • 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.
  • 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.
  • Vernold Vivin, J., Harmonious coloring of total graphs, n-leaf, central graphs and circumdetic graphs, Bharathiar University, Ph.D Thesis, Coimbatore, India 2007.
  • 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.
There are 7 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 14, 2018
Acceptance Date May 26, 2018
Publication Date February 1, 2019
DOI https://doi.org/10.31801/cfsuasmas.490001
IZ https://izlik.org/JA89RA47PF
Published in Issue Year 2019 Volume: 68 Issue: 1

Cite

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

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

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