On Cayley Graphs of Bands

On Cayley Graphs of Bands
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DOI:
10.1007/s00233-006-0656-8
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发表时间:
2007-02
期刊:
影响因子:
0.7
通讯作者:
S. Fan;Yanshan Zeng
S. Fan;Yanshan Zeng
中科院分区:
数学3区
文献类型:
--
作者:
S. Fan;Yanshan Zeng

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Andrei Kelarev和Cheryl Preager在[10],[11]中分别给出了半群Cayley图是点传递图和无向图的充要条件. 本文给出了点传递带Cayley图的一个完整刻画。
Andrei Kelarev and Cheryl Preager gave necessary and sufficient conditions for Cayley graphs of semigroups to be vertex-transitive and undirected respectively in [10], [11]. In this paper we obtain a complete description of all vertex-transitive Cayley graphs of bands.