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arxiv: 1901.05759 · v2 · pith:JYFC5WDZ · submitted 2019-01-17 · math.CO

Non-trivial intersecting families for finite affine spaces

Chao Gong , Benjian Lv , Kaishun Wang This is my paper

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classification math.CO
keywords intersectingmaximumsizeaffinefamiliesfamilyfinitenon-trivial
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Guo and Xu determined the maximum size of intersecting families over finite affine spaces and showed that any family reaches maximum size must be trivial. In this paper, we characterize non-trivial intersecting family with maximum size.

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  1. Structure of $t$-Intersecting Families of Vector Spaces

    math.CO 2026-05 unverdicted novelty 7.0

    Large t-intersecting families of k-subspaces in n-space (n ≥ 2k+1) admit a low-dimensional governing structure, enabling analogues of several classical extremal results.