7 citations · 45 across the 32 of their papers we have counts for
6 papers · 1 filter
Regular -balanced Cayley maps on split metacyclic -groups
Haimiao Chen, Jingrui Zhang
A regular -balanced Cayley map on a group is an embedding of a Cayley graph on into a surface with certain special symmetric properties. We completely classify regular $…
Regular balanced Cayley maps on
Haimiao Chen
A {\it regular balanced Cayley map} (RBCM for short) on a finite group is an embedding of a Cayley graph on into a surface, with some special symmetric property. People hav…
Quotients of polynomial rings and regular t-balanced Cayley maps on abelian groups
Haimiao Chen
Given a finite group , a regular -balanced Cayley map (RBCM for short) is a regular Cayley map such that for all . In…
How to find G-admissible abelian coverings of a graph?
Haimiao Chen, Hao Shen
Given a finite connected simple graph , and a subgroup of its automorphism group, a general method for finding all finite abelian regular coverings of that admit a lift…
Enumerating typical abelian coverings of Cayley graphs
Haimiao Chen
In this article we complete the work of enumerating typical abelian coverings of Cayley graphs, by reducing the problem to enumerating certain subgroups of finite abelian groups.
Lifting automorphisms along abelian regular coverings of graphs
Haimiao Chen
This article proposes an effective criterion for lifting automorphisms along regular coverings of graphs, with the covering transformation group being any finite abelian group.