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Non-trivial intersecting families for finite affine spaces

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

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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