On harmonious coloring of total graphs of c(cn), c(k1,n) and c(pn)
DOI:
https://doi.org/10.4067/S0716-09172010000100007Keywords:
Central graph, total graph, harmonious coloring, grafo central, grafo total, coloreado armonioso.Abstract
In this paper, we present the structural properties of total graph of central graph of cycles Cn, star graphs K1,n and paths Pn denoted by T (C(Cn)), T (C(K1,n)) and T (C(Pn)) respectively. We mainly focus our discussion on the harmonious chromatic number of T (C(Cn)), T (C(K1,n)) and T (C(Pn)).References
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Vernold Vivin. J and Akbar Ali.M.M, On Harmonious Coloring of Middle graph of C(Cn), C(K1,n) and C(Pn), Note di Matematica Vol.(29) 2, pp. 203-214, (2009).
Keith Edwards. A Bibliography of Harmonious Colorings and Achromatic Number. http://www.computing.dundee.ac.uk/sta/kedwards/biblio.html, (2009).
Frank Harary, Graph Theory, Narosa Publishing home, (1969).
J.Hopcroft and M.S. Krishnamoorthy, On the harmonious coloring of graphs, SIAM J. Algebra Discrete Math 4, pp. 306-311, (1983).
Marek Kubale, Graph Colorings, American Mathematical Society Providence, Rhode Island, (2004).
Vernold Vivin. J, Ph.D Thesis, Harmonious Coloring of Total Graphs, n-Leaf, Central graphs and Circumdetic Graphs, Bharathiar University, (2007).
Vernold Vivin. J and Akbar Ali.M.M, On Harmonious Coloring of Middle graph of C(Cn), C(K1,n) and C(Pn), Note di Matematica Vol.(29) 2, pp. 203-214, (2009).
Published
2010-01-01
How to Cite
[1]
V. Vivin J., A. Ali. M. M., and K. Kaliraj, “On harmonious coloring of total graphs of c(cn), c(k1,n) and c(pn)”, Proyecciones (Antofagasta, On line), vol. 29, no. 1, pp. 57-76, Jan. 2010.
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