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

DOI10.1016/j.laa.2016.11.016zbMath1352.05181OpenAlexW2553377302MaRDI QIDQ501273

Kaishun Wang, Chao Gong, Benjian Lv

Publication date: 29 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.016

zbMATH Keywords

intersecting familycovering numberHilton-Milner theorembilinear forms graph

Mathematics Subject Classification ID

Extremal set theory (05D05)

Related Items (4)

The Hilton-Milner theorem for finite affine spaces ⋮ The probability of spanning a classical space by two non-degenerate subspaces of complementary dimensions ⋮ The Hilton-Milner theorem for attenuated spaces ⋮ Cameron-Liebler sets in bilinear forms graphs

Cites Work

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• An analogue of the Erdős-Ko-Rado theorem for the distance-regular graphs of bilinear forms
• Intersection theorems for systems of finite vector spaces
• Families of intersecting finite vector spaces
• An analogue of the Hilton-Milner theorem for set partitions
• The Erdős-Ko-Rado theorem for singular linear spaces
• Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• AN ANALOGUE OF THE HILTON-MILNER THEOREM FOR WEAK COMPOSITIONS
• SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS

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