# Character Sums for Cayley Graphs

@article{Abdollahi2015CharacterSF, title={Character Sums for Cayley Graphs}, author={Alireza Abdollahi and Maysam Zallaghi}, journal={Communications in Algebra}, year={2015}, volume={43}, pages={5159 - 5167} }

Following [1], by a Cayley digraph we mean a graph Cay(G, S) whose vertex set is a group G, and there exists a directed edge from a vertex g to another vertex h if g −1 h ∈ S, where S is a generating subset of G. The graph Cay(G, S) is called a Cayley graph if S = S −1 and 1 ∉ S. In Problem 3.3 of the above cited article, the following question is proposed. Let G be a finite group, let Γ = Cay(G, S) be a Cayley digraph, ν a positive integer, and where χ1, …, χ h are all irreducible characters… Expand

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