The Hilton-Milner theorem for the distance-regular graphs of bilinear forms

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• 作者：Chao Gong ^{201531130013@mail.bnu.edu.cn} ; Benjian Lv ; ^{bjlv@bnu.edu.cn} ; Kaishun Wang ^{wangks@bnu.edu.cn}
• 关键词：05D05
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：515
• 期：Complete
• 页码：130-144
• 全文大小：366 K
• 卷排序：515

文摘

Let V   be an (n+l)(n+l)-dimensional vector space over the finite field FqFq with l≥n>0l≥n>0, and W be a fixed l-dimensional subspace of V  . Suppose FF is a non-trivial intersecting family of n-dimensional subspaces U of V   with U∩W=0U∩W=0. In this paper, we give the tight upper bound for the size of FF, and describe the structure of FF which reaches the upper bound.