Introduces vertex sum cube labeling for graphs, exploring its application on path and star graphs.
In this paper, the new concept vertex sum cube labeling has been introduced and a formula for vertex sum cube labeling has been established. A function ? is called a Vertex sum cube labeling of a graph G with edges, if the vertices of G to the set {0,1,2, p -1} such that when each edge uv is assigned the label ?(uv) = u3 + v3 + 3u2v + 3uv2, then the resulting edge labels are distinct cube numbers. In this paper, we has investigated some families of graphs such as Path and Star.
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Shalini et al. (2026) studied this question.
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