On the Sparing Number of the Edge-Corona of Graphs
نویسندگان
چکیده
Let N0 be the set of all non-negative integers and P(N0) be its the power set. An integer additive set-indexer (IASI) of a graph G is an injective function f : V (G) ! P(N0) such that the induced function f+ : E(G) ! P(N0) defined by f+(uv) = f(u) + f(v) is also injective, where f(u) + f(v) is the sum set of f(u) and f(v). An integer additive set-indexer f is said to be a weak integer additive set-indexer (weak IASI) if jf+(uv)j = max(jf(u)j; jf(v)j) 8 uv 2 E(G). The minimum number of singleton set-labeled edges required for the graph G to admit a weak IASI is called the sparing number of the graph. In this paper, we discuss the admissibility of weak IASI by a particular type of graph product called the edge corona of two given graphs and determine the sparing number of the edge corona of certain graphs.
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