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.
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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| 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
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