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On the Non-Common Neighbourhood Energy of Graphs

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DOI: 10.4236/am.2015.68108    4,994 Downloads   5,553 Views   Citations

ABSTRACT

In this paper, we introduce a new type of graph energy called the non-common-neighborhood energy , , NCN-energy for some standard graphs is obtained and an upper bound for  is found when G is a strongly regular graph. Also the relation between common neigh-bourhood energy and non-common neighbourhood energy of a graph is established.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Al-Kenani, A. , Alwardi, A. and Al-Attas, O. (2015) On the Non-Common Neighbourhood Energy of Graphs. Applied Mathematics, 6, 1183-1188. doi: 10.4236/am.2015.68108.

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