Complementary Eccentric Uniform Labeling Graphs

K. K. Usha, K. A. Germina

Abstract


Given a graph \(G=(V,E)\), a set \(M\subset V\) is called Complementary Eccentric Uniform (CEU), if the \(M\)-eccentricity labeling \(e_M(u)=\max\{d(u,v):v\in M\}\) is identical for all \(u\in V-M\). The least cardinality of a CEU set is called the CEU number of the graph \(G\). In this paper we initiate a study on CEU labelled graphs and obtain bounds for certain graphs.

Keywords


CEU set; CEU number

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References


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DOI: http://dx.doi.org/10.26713%2Fjims.v8i3.405

eISSN 0975-5748; pISSN 0974-875X