Enumerating Abelian Typical Cube-Free Fold Coverings of a Circulant Graph

作     者：Young Soo Kwon Jaeun Lee Young Soo Kwon;Jaeun Lee

作者机构：Department of MathematicsYeungnam UniversityKyongsan712-749Korea 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2020年第27卷第1期

页      面：137-148页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The work was partially supported by the Korean-Russian bilateral project.The first author was supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(grant 2018R1D1A1B05048450) Korea 

主　　题：graph covering enumeration voltage assignment circulant graph 

摘      要：Enumerating the isomorphism or equivalence classes of several types of graph coverings is one of the central research topics in enumerative topological graph theory.A covering projection p from a Cayley graph Cay(Г,X)onto another Cayley graph Cay(Q,y)is called typical if the function p:Г→Q on the vertex sets is a group epimorphism.A typical covering is called abelian(or circulant,respectively)if its covering graph is a Cayley graph on an abelism(or a cyclic,respectively)***,the equivalence classes of connected abelian typical prime-fold coverings of a circulant graph are *** a continuation of this work,we enumerate the equivalence classes of connected abelian typical cube-free fold coverings of a circulant graph.