An Improvement of the Boshier-Nomura Bound

An Improvement of the Boshier-Nomura Bound
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Boshier-Nomura边界的改进

DOI:
10.1006/jctb.1994.1025
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发表时间:
1994
期刊:
J. Comb. Theory, Ser. B
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

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本文证明了距离正则图的交阵列中的列数(ci,ai,B i)=(1,1,k-2)在列(1,0,k-1)存在的情况下至多为3.这将Bosheir-Nomura界限从4提高到3。
Abstract We show that the number of columns ( c i , a i , b i ) = (1, 1, k − 2) in the intersection arrays of distance-regular graphs is at most three if the column (1, 0, k − 1) exists. This improves the Bosheir-Nomura bound from four to three.