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Distance integral generalized wheel graphs
Discrete Mathematics, 2023The authors consider the question of when the spectrum of the distance matrix of the join of several copies of the same complete graph (\(aK_m\)) and a cycle (\(C_n\)) consists of integers only. Since both constituent graphs are regular, their adjacency eigenvalues find their way into the distance spectrum of the join, so that only integral cycles (\(n\
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Journal of Graph Theory, 2021AbstractFor a graph , the Turán number of , denoted by ex, is the maximum number of edges of an ‐vertex ‐free graph. Let denote the maximum number of edges not contained in any monochromatic copy of in a 2‐edge‐coloring of . A wheel is a graph formed by connecting a single vertex to all vertices of a cycle of length .
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International Journal of Foundations of Computer Science, 2017The binding number of a graph G is defined to be the minimum of [Formula: see text] taken over all nonempty [Formula: see text] such that [Formula: see text]. Binding number, one indicator to better understand graph, is an important characteristic quantity of a graph.
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