Unicyclic nonintegral sum graphs
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A graph G = (V,E) is an integral sum graph if there exists a labeling S(G) ⊂ Z such that V = S(G) and every two distinct vertices u, υ ∈ V are adjacent if and only if u + υ ∈ V. A connected graph G = (V,E) is called unicyclic if |V| = |E|. In this paper two infinite series are constructed of unicyclic graphs that are not integral sum graphs.
KeywordsIndustrial Mathematic Connected Graph Discrete Math Edge Incident Distinct Vertex
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