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Generalised voltage graphs
European Journal of Combinatorics ( IF 1 ) Pub Date : 2021-02-16 , DOI: 10.1016/j.ejc.2021.103313 Primož Potočnik , Micael Toledo
中文翻译:
广义电压图
更新日期:2021-02-16
European Journal of Combinatorics ( IF 1 ) Pub Date : 2021-02-16 , DOI: 10.1016/j.ejc.2021.103313 Primož Potočnik , Micael Toledo
A graph with a semiregular group of automorphisms can be thought of as the derived cover arising from a voltage graph. Since its inception, the theory of voltage graphs and their derived covers has been a powerful tool used in the study of graphs with a significant degree of symmetry. We generalise this theory to graphs with a group of automorphisms that is not necessarily semiregular, and we generalise several well-known results of the classical theory of voltage graphs to this broader setting.
中文翻译:
广义电压图
可以将具有半正则同构同形群的图视为由电压图引起的推导覆盖。自成立以来,电压图及其派生覆盖理论一直是研究具有高度对称性的图的强大工具。我们将这一理论推广到具有一组不一定是半正则的自同构的图,并且将电压图经典理论的一些众所周知的结果推广到这一更广泛的设置。