# 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}
}
• Published 2015
• Mathematics
• Communications in Algebra
Following , 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
2 Citations
Non-abelian finite groups whose character sums are invariant but are not Cayley isomorphism
• Mathematics
• 2017
Let $G$ be a group and $S$ an inverse closed subset of $G\setminus \{1\}$. By a Cayley graph $Cay(G,S)$ we mean the graph whose vertex set is the set of elements of $G$ and two vertices $x$ and $y$Expand
THE LIT-ONLY σ-GAME: SOME MATHEMATICS BEHIND A PUZZLE FOR KIDS
• 2019
The lit-only σ-game is a nondeterministic linear dynamical process whose local transition rule is specified by a digraph. The player of the game can choose among several possible transitions at eachExpand