Distance-regular Subgraphs in a Distance-regular Graph, VI

Distance-regular Subgraphs in a Distance-regular Graph, VI
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距离正则图中的距离正则子图,VI

DOI:
10.1006/eujc.1998.0237
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发表时间:
1998
期刊:
Eur. J. Comb.
影响因子:
--
通讯作者:
Akira Hiraki
Akira Hiraki
中科院分区:
--
文献类型:
--
作者:
Akira Hiraki

文献摘要

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本文给出了距离正则图中含有给定距离点对的(cq+aq)-正则强闭子图存在的一个充分条件。证明了距离正则图r=max{j|(cj,aj,bj)=(c1,a1,b1)},bq−1>bqandcq+r=1满足我们的充分条件。
In this paper we give a sufficient condition for the existence of a strongly closed subgraph which is (cq+aq)-regular of diameterqcontaining a given pair of vertices at distanceqin a distance-regular graph. Moreover we show that a distance-regular graph withr=max {j| (cj,aj,bj)= (c1,a1,b1)} ,bq−1>bqandcq+r=1 satisfies our sufficient condition.