Distance-Transitive Graphs of Valency Four

Distance-Transitive Graphs of Valency Four
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DOI:
10.1112/jlms/s2-8.2.377
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发表时间:
1974-07
影响因子:
1.2
通讯作者:
Derek H. Smith
Derek H. Smith
中科院分区:
数学2区
文献类型:
--
作者:
Derek H. Smith

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在[1]和[7]中,确定了围长为3的3度和4度的距离传递图。本文利用西姆斯[5]、奎林[4]以及西姆斯和汤普森(未发表,见[4])的结果证明了只有一个4度围长> 3的非二部距离传递图.
In [1] and [7] the distance-transitive graphs of valency 3 and of valency 4, girth 3 were determined. We use results of Sims [5], Quirin [4] and Sims and Thompson (unpublished, see [4]) to show that there is only one non-bipartite distance-transitive graph of valency 4 and girth> 3.