On Edge Pair Sum Labeling of Graphs

Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 7, Issue 2

Abstract

An injective map f : E(G) → {±1,±2,…,±q} is said to be an edge pair sum labeling of a graph G(p, q) if the induced vertex function f^*:V(G)→Z-{0} defined by f^* (v)=∑_(e∊E_v)▒f(e) is one – one, where E_v denotes the set of edges in G that are incident with a vertex v and f^* (V(G)) is either of the form {±k_1,±k_2,…,±k_(p/2) } or {±k_1,±k_2,…,〖±k〗_((p-1)/2) }⋃{k_(p/2) } according as p is even or odd. A graph which admits edge pair sum labeling is called an edge pair sum graph. In this paper we prove that some cycle related graphs are edge pair sum graphs.

Authors and Affiliations

P. Jeyanthi , T. Saratha Devi

Keywords

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  • EP ID EP115959
  • DOI -
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How To Cite

P. Jeyanthi, T. Saratha Devi (2014). On Edge Pair Sum Labeling of Graphs. INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY, 7(2), 105-113. https://europub.co.uk/articles/-A-115959