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Dirichlet Character Difference Graphs
M. Budden, N. Calkins, W. N. Hack, J. Lambert and K. Thompson
Received: October 3, 2011; Revised: November 5, 2012; Accepted: November 5, 2012
Abstract. We define Dirichlet character difference graphs and describe their basic properties, including the enumeration of triangles and edge-disjoint hamiltonian cycles. In the case where the modulus is an odd prime, we exploit the spectral properties of such graphs in order to provide meaningful upper bounds for their diameter.
Keywords: Cayley graphs; Paley graphs; circulant matrices.
AMS Subject classification: Primary: 05C38, 05C12 Secondary: 05C50, 11T24, 11R18
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