Geodesic
An upper bound for maximum number of edges in a strongly multiplicative graph
Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 2, pp. 225-229.

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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 bounds given by Beineke and Hegde [3] and Adiga, Ramaswamy and Somashekara [2], for n ≥ 28.
Keywords: graph labelling, strongly multiplicative graphs 
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Adiga, Chandrashekar; Smitha, Mahadev. An upper bound for maximum number of edges in a strongly multiplicative graph. Discussiones Mathematicae. Graph Theory, Tome 26 (2006) no. 2, pp. 225-229. http://geodesic.mathdoc.fr/item/DMGT_2006_26_2_a4/

[1] C. Adiga, H.N. Ramaswamy and D.D. Somashekara, On strongly multiplicative graphs, South East Asian J. Math. Math. Sc. 2 (2003) 45-47.

[2] C. Adiga, H.N. Ramaswamy and D.D. Somashekara, A note on strongly multiplicative graphs, Discuss. Math. Graph Theory 24 (2004) 81-83, doi: 10.7151/dmgt.1215.

[3] L.W. Beineke and S.M. Hegde, Strongly multiplicative graphs, Discuss. Math. Graph Theory 21 (2001) 63-76, doi: 10.7151/dmgt.1133.

[4] P. Erdős, An asymptotic inequality in the theory of numbers, Vestnik Leningrad. Univ. 15 (1960) 41-49.