Research on a New Type of Integral Sum Graph with the Sequence Label Method

Article Preview

Abstract:

Integral sum graph was introduced by Harary. This theory is a labeling of graph. From a practical point of view, integral sum graph labeling can be used as a compressed representation of a graph, a data structure for representing the graph, and an alternative method for defining and storing graphs. In this paper, to give an integral sum labeling of fan graph, and to prove that all multiple composite fan graph are integral sum graphs with the sequence label method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

542-545

Citation:

Online since:

July 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] F. Harary: Sum graphs and difference graphs, Congr. Numer., Vol. 72(1994), pp.101-108.

Google Scholar

[2] F. Harary: Sum graphs over all the integers, Discrete Math., vol. 306(2004), p.99–105.

DOI: 10.1016/0012-365x(92)00054-u

Google Scholar

[3] L.S. Melnikov and A.V. Pyatkin: Regular integral sum graphs, Discrete Mathematics, Vol. 252 (2002), pp.237-245.

DOI: 10.1016/s0012-365x(01)00426-5

Google Scholar

[4] Zhibo Chen: On integral sum graph, Discrete Math., vol. 306, (2009) , p.16–25.

Google Scholar

[5] Sheng-Chyang Liaw, David Kuo and Gerard J. Chang: Integral sum number of graphs, Ars Combinatoria, vol. 54(2010), pp.259-268.

Google Scholar

[6] Wenjie He, Lixin Wang, Honghai Mi et al: Integral sum graphs from a class of trees, Ars Com- binatoria, vol. 70(2009) , pp.197-205.

Google Scholar

[7] Edita Macajova and Martin Skoviera: On a conjecture of Fan and Raspaud, Electronic Notes in Discrete Math., Vol. 34(2011), pp.237-241.

Google Scholar

[8] Henning Fernau, Joe F. Ryan and Kiki A. Sugeng: A sum labelling for the generalised friendship Graph, Discrete Math. Vol. 308(2011), pp.734-740.

DOI: 10.1016/j.disc.2007.07.059

Google Scholar