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Accessible spectrum of graphs

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This paper computes eigenvalues of discrete complete hypergraphs and partitioned hypergraphs. We define positive equivalence relation on hypergraphs that establishes a connection between hypergraphs and graphs. With this regards it… Click to show full abstract

This paper computes eigenvalues of discrete complete hypergraphs and partitioned hypergraphs. We define positive equivalence relation on hypergraphs that establishes a connection between hypergraphs and graphs. With this regards it makes a connection between spectrum of graphs and spectrum of quotient of any hypergraphs. Finally, this study tries to construct spectrum of path trees via quotient of partitioned hypergraphs.

Keywords: spectrum graphs; graphs; hypergraphs; accessible spectrum

Journal Title: Applicable Analysis and Discrete Mathematics
Year Published: 2021

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