Total influence number in complementary prisms
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The graph labeling problem that appears in graph theory has a fast development recently. Numerous variations of labeling have been investigated in the literature. The total inﬂuence number is a new approach to the concept of graph labeling. The total inﬂuence number can be viewed as vertex labeling problems concerned with the sum of the labels. Although many vertex labeling problems concerning with the sum of all of the labels study to minimize the sum, the total inﬂuence number has the aim of maximizing the sum. This means that this parameter attempt to maximize the proﬁt associated with each vertex. In this paper, we consider the total inﬂuence number in complementary prisms. We determined the total inﬂuence number of GG for speciﬁc graphs G.