characterization of graphs with an eigenvalue of large multiplicity
Abstract
Let G be a simple and undirected graph. The eigenvalues of the adjacency matrix of G are called the eigenvalues of G. In this paper, we characterize all the n-vertex graphs with some eigenvalue of multiplicity n−2 and n−3, respectively. Moreover, as an application of the main result, we present a family of nonregular graphs with four distinct eigenvalues.
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155208
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155208
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10.1155/2020/3054672
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Scimatic Chain (ID: 481)
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