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- W3021575534 abstract "Let <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>G</mml:mi></mml:math> be a simple and undirected graph. The eigenvalues of the adjacency matrix of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>G</mml:mi></mml:math> are called the eigenvalues of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>G</mml:mi></mml:math>. In this paper, we characterize all the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi>n</mml:mi></mml:math>-vertex graphs with some eigenvalue of multiplicity <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M5><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M6><mml:mi>n</mml:mi><mml:mo>−</mml:mo><mml:mn>3</mml:mn></mml:math>, respectively. Moreover, as an application of the main result, we present a family of nonregular graphs with four distinct eigenvalues." @default.
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- W3021575534 date "2020-04-29" @default.
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- W3021575534 title "Characterization of Graphs with an Eigenvalue of Large Multiplicity" @default.
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- W3021575534 doi "https://doi.org/10.1155/2020/3054672" @default.
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