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Arc-Transitive Cayley Graphs of Valency at Most Four on Abelian Groups |
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| Authors: | Jing Xu Mingyao Xu |
| Institution: | (1) Departmant of Mathematics, Temple University, Philadelphia, PA, 19122, U.S.A.;(2) Institute of Mathematics, Peking University, Beijing, 100871, People s Republic of China |
| Abstract: | In this paper we give a complete classification for arc-transitive and one-regular Cayley graphs of valency at most four on finite abelian groups.AMS Subject Classifications: 05C25 20B25.This work was supported by the National Natural Science Foundation of China (proj. no. 19831050) and the Doctoral Program Foundation of Institutions of Higher Education of China (proj. no. 97000141). |
| Keywords: | arc-transitive graph one-regular graph normal Cayley graph |
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