edge pair sum labeling of spider graph
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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) = (sigma e∈ev) f (e) is one-one, where ev denotes the set of edges in g that are incident with a vetex 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 which admits edge pair sum labeling is called an edge pair sum graph. in this paper we exhibit some spider graph.
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Journal title:
journal of algorithms and computationجلد ۴۵، شماره ۱، صفحات ۲۵-۳۴
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