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Discussiones Mathematicae Graph Theory 24(1) (2004) 81-83
DOI: https://doi.org/10.7151/dmgt.1215
A NOTE ON STRONGLY MULTIPLICATIVE GRAPHS
Chandrashekar Adiga, H.N. Ramaswamy and D.D. Somashekara
Department of Studies in Mathematics
University of Mysore
Manasagangotri
Mysore - 570 006, INDIA
Abstract
In this note we give an upper bound for λ (n), the maximum number of edges in a strongly multiplicative graph of order n, which is sharper than the upper bound obtained by Beineke and Hegde [1].Keywords and phrases: graph labeling, strongly multiplicative graphs.
2000 Mathematics Subject Classification: 05C78.
References
[1] | L.W. Beineke and S.M. Hegde, Strongly multiplicative graphs, Discuss. Math. Graph Theory 21 (2001) 63-76, doi: 10.7151/dmgt.1133. |
[2] | P. Erdős, An asymptotic inequality in the theory of numbers, Vestnik Leningrad, Univ. 15 (1960) 41-49. |
Received 24 October 2001
Revised 6 July 2002