Simple eigenvalues of cubic vertex-transitive graphs

被引：0
作者：
Guo, Krystal [1 ]
Mohar, Bojan [2 ]
机构：
[1] Univ Amsterdam, Korteweg de Vries Inst Math, Amsterdam, Netherlands
[2] Simon Fraser Univ, Dept Math, Burnaby, BC, Canada
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年 / 76卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Algebraic graph theory; graph eigenvalues; vertex-transitive graphs; graph embeddings; REGULAR MAPS;
D O I：
10.4153/S0008414X23000482
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If v is an element of R(V(X))is an eigenvector for eigen value lambda of a graph X and alpha is an automorphism of X, then alpha(v)is also an eigenvector for lambda. Thus, it is rather exceptional for an eigen value of a vertex-transitive graph to have multiplicity one. We study cubic vertex-transitive graphs with anontrivial simple eigenvalue, and discover remarkable connections to arc-transitivity, regular maps,and number theory
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页码：1496 / 1519
页数：24
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