edge pair sum labeling of some cycle related graphs
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abstract
let g be a (p,q) graph. an injective map f : e(g) → {±1,±2,...,±q} is said to be an edge pair sum labeling if the induced vertex function f*: v (g) → z - {0} defi ned by f*(v) = σp∈ev f (e) is one-one where ev denotes the set of edges in g that are incident with a vertex v and f*(v (g)) is either of the form {±k1,±k2,...,±kp/2} or {±k1,±k2,...,±k(p-1)/2} u {±k(p+1)/2} according as p is even or odd. a graph with an edge pair sum labeling is called an edge pair sum graph. in this paper we prove that the graphs gl(n), double triangular snake d(tn), wn, fln, and admit edge pair sum labeling.
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Journal title:
journal of algorithms and computationجلد ۴۸، شماره ۱، صفحات ۵۷-۶۸
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