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	Volume 2, Issue 2 Pg 85 - 163 (October 2008)
	Volume 2, Issue 1 Pg 1 - 84 (July 2008)

Volume 1 (2008)

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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 2, Issue 1, Pages 17 - 33 (July 2008)

ON HARMONIOUS COLOURING OF CENTRAL GRAPHS Vernold Vivin. J (India), Akbar Ali. M. M (India) and K. Thilagavathi (India) Received February 26, 2008 References:
[1] Akbar Ali. M. M and Vernold Vivin. J, Harmonious chromatic number of central graph of complete graph families, J. Combin. Inform. Sys. Sci. 32(1-4) (2007), 221-231. [2] Armen S. Asratian, Tristan M. J. Denley and Roland Häggkvist, Bipartite Graphs and their Applications, Cambridge University Press, 1998. [3] J. A. Bondy and U. S. R. Murty, Graph Theory with Applications, MacMillan, London, 1976. [4] S. Fiorini and R. J. Wilson, Edge Colouring of Graphs, Pitman Publishing Limited, 1977. [5] John P. Georges, On harmonious colouring of collection of graphs, J. Graph Theory 20(2) (1995), 241-245. [6] Jonathan L. Gross and Jay Yellen, Hand Book of Graph Theory, CRC Press LLC, 2004. [7] Frank Harary, Graph Theory, Narosa Publishing Home, 1969. [8] J. Hopcroft and M. S. Krishnamoorthy, On the harmonious colouring of graphs, SIAM J. Alg. Disc. Math. 4 (1983), 306-311. [9] Marek Kubale, Graph Colourings, Amer. Math. Soc., Providence, Rhode Island, 2004. [10] K. Thilagavathi and Vernold Vivin. J, Harmonious colouring of graphs, Far East J. Math. Sci. (FJMS) 20(2) (2006), 189-197. [11] K. Thilagavathi and Vernold Vivin. J, Harmonious colouring of cycles, regular graphs, star n-leaf, festoon trees and bigraphs, Far East J. Math. Sci. (FJMS) 26(3) (2007), 779-788. [12] K. Thilagavathi, Vernold Vivin. J and Anitha. B, Circumdetic graphs, Far East J. Appl. Math. 26(2) (2007), 191-201. [13] Vernold Vivin. J, Akbar Ali. M. M and K. Thilagavathi, Harmonious colouring on central graphs of odd cycles and complete graphs, Proceedings of the International Conference on Mathematics and Computer Science (ICMCS 2007), March 1-3, 2007, Loyola College, Chennai, India, pp. 74-78. [14] Vernold Vivin. J, K. Thilagavathi, Anitha. B, On harmonious colouring of line graph of central graphs of bipartite graphs, J. Combin. Inform. Sys. Sci. 32(1-4) (2007), 233-240.

Keywords and phrases: central graph, harmonious colouring, Hajos union, intersection number, Eulerian.

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