On distance-regular graphs with fixed valency

On distance-regular graphs with fixed valency
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DOI:
10.1007/bf01788534
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发表时间:
1987-12
影响因子:
0.7
通讯作者:
E. Bannai;Tatsuro Ito
E. Bannai;Tatsuro Ito
中科院分区:
数学4区
文献类型:
--
作者:
E. Bannai;Tatsuro Ito

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我们证明了下面的结果。LetΓ是一个有限距离正则图。设i, ai, bi为相交数ofΓ。IfΓ不是一个普通函数,那么(ci, ai, bi)的个数使得ci = bi被某个值k的函数限定,比如10k2 k。
We prove the following result. LetΓ be a finite distance-regular graph. Letc i, ai, bi be the intersection numbers ofΓ. IfΓ is not an ordinaryn-gon, then the number of (ci, ai, bi) such thatc i= bi is bounded by a certain function of the valencyk, say 10k2 k.