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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

LOURDUSAMY, A.  and  SEENIVASAN, M.. Some new classes of vertex-mean graphs. Proyecciones (Antofagasta) [online]. 2017, vol.36, n.2, pp.283-298. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172017000200283.

A vertex-mean labeling of a(p, q) graph G = ( V, E) is defined as an injective function such that the function defined by the rule

satisfies the property that

, where Ev denotes the set of edgesin G that are incident at v, N denotes the set of all natural numbers and Round is the it nearest integer function. A graph that has a vertex-mean labeling is called vertex-mean graph or V - mean graph. In this paper, we study V - mean behaviour of certain new classes of graphs and present a method to construct disconnected V - mean graphs.

Keywords : Mean labeling; edge labeling; vertex-mean labeling; vertex-mean graphs.

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