This paper investigates sum-perfect cube graphs, defined as graphs with a bijection .Where is the number of vertices. For each edge , a function is defined by . If is injective, is termed a Sum perfect cube labeling. The study focuses on identifying graphs where all edges permit such a labeling, termed sum-perfect cube graphs. This paper explores the properties and classifications of these graphs.
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Sonchhatra et al. (2024) studied this question.
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