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On irregular coloring of wheel related graphs

Yıl 2019, Cilt: 68 Sayı: 2, 1462 - 1472, 01.08.2019

A. Rohini M. Venkatachalam

https://doi.org/10.31801/cfsuasmas.539363
Cited By: 4

Öz

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.

Anahtar Kelimeler

Irregular coloring middle graph total graph central graph line graph

Kaynakça

  • 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.

Yıl 2019, Cilt: 68 Sayı: 2, 1462 - 1472, 01.08.2019

A. Rohini M. Venkatachalam

https://doi.org/10.31801/cfsuasmas.539363
Cited By: 4

Öz

Kaynakça

  • 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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

A. Rohini 0000-0002-3677-5276

M. Venkatachalam 0000-0001-5051-4104

Yayımlanma Tarihi 1 Ağustos 2019
Gönderilme Tarihi 5 Şubat 2018
Kabul Tarihi 27 Haziran 2018
Yayımlandığı Sayı Yıl 2019 Cilt: 68 Sayı: 2

Kaynak Göster

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 Rohini A, Venkatachalam M. On irregular coloring of wheel related graphs. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2019;68(2):1462-1472. doi:10.31801/cfsuasmas.539363
Chicago Rohini, A., ve M. Venkatachalam. “On Irregular Coloring of Wheel Related Graphs”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, sy. 2 (Ağustos 2019): 1462-72. https://doi.org/10.31801/cfsuasmas.539363.
EndNote Rohini A, Venkatachalam M (01 Ağustos 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 A. Rohini ve M. Venkatachalam, “On irregular coloring of wheel related graphs”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 68, sy. 2, ss. 1462–1472, 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 (Ağustos 2019), 1462-1472. https://doi.org/10.31801/cfsuasmas.539363.
JAMA 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. ve M. Venkatachalam. “On Irregular Coloring of Wheel Related Graphs”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 68, sy. 2, 2019, ss. 1462-7, doi:10.31801/cfsuasmas.539363.
Vancouver Rohini A, Venkatachalam M. On irregular coloring of wheel related graphs. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):1462-7.

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