SECTION OF MATHEMATICS: THE UNIQUENESS OF g(2,2,10,56)*

SECTION OF MATHEMATICS: THE UNIQUENESS OF g(2,2,10,56)*
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数学部分:g(2,2,10,56)* 的唯一性

DOI:
10.1111/j.2164-0947.1969.tb01990.x
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发表时间:
1969
期刊:
影响因子:
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通讯作者:
A. Gewirtz
A. Gewirtz
中科院分区:
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文献类型:
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作者:
A. Gewirtz

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参考文献简介1,我们研究了直径为d>1,围长为2d的简单无向图的G类,使得对于任意的G,如果一对结点彼此之间的距离为d,则这对结点是由t条不同的长为d,t>1的路连接起来的。2.文献[1]考虑了二部图的子类B_c_G。3.文献[1]中图的一个应用。2对传输网络的影响见文献[1]。4,并且可以很容易地将相同的概念修改为适用于文献[4]中的图。1.
INTRODUCTION In Ref. 1, we examined the class G of simpleundirected graphs of diameter d> 1, girth 2d and such that for any g E G, if a pair of nodes are at distance d from each other, then that pair of nodes is connected by t distinct paths of length d, t> 1.Related problems dealing with graphs of diameter d and girth 2d+ 1 were considered in Ref. 2. The subclass B c G of bipartite graphs was considered in Ref. 3. An application of the graphs in Ref. 2 to transmission networks was given in Ref. 4, and the same concept can be easily modified to apply to the graphs of Ref. 1.