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The Exquisite Integer Additive Set-Labeling of Graphs

Journal: International Journal of Science and Research (IJSR) (Vol.4, No. 4)

Publication Date:

Authors : ; ;

Page : 2858-2862

Keywords : Integer additive set-labeling; integer additive set-indexers; weak integer additive set-labeling; strong integer additive set-labeling; exquisite integer additive set-labeling;

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Abstract

Let N_0 denote the set of all non-negative integers and P (N_0) be its power set. An integer additive set-indexer (IASI) of a graph G is an injective function fV (G) -P (N_0) such that the induced function f^+E (G) -P (N_0) 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). If f^+ (uv) =k - uv-E (G), then f is said to be a k-uniform integer additive set-indexer. In this paper, we study the admissibility of a particular type of integer additive set-indexers by certain graphs.

Last modified: 2021-06-30 21:44:39