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Adjacency Algebra of Unitary Cayley Graph

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Abstract:

A few properties of unitary Cayley graphs are explored using their eigenvalues. It is shown that the adjacency algebra of a unitary Cayley graph is a coherent algebra. Finally, a class of unitary Cayley graphs that are distance regular are also obtained. Key Words: Adjacency Algebra, Circulant Graph, Coherent Algebra, Distance Regular Graph,Ramanujan's sum . AMS(2010): 05C25, 05C50

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