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- W2762137226 abstract "We launch the thorough study of the pure ErdH{o}s-Ko-Rado property of simplicial complexes. Specifically, we identify two fundamental conditions on the maximal faces of a pure simplicial complex to satisfy the ErdH{o}s-Ko-Rado property, namely flagness and the absence of boundary ridges. We establish a tower of increasingly ambitious conjectures stating, in the most general form, that these properties are sufficient to establish the pure-EKR property in arbitrary dimension. We then prove this conjecture in dimensions two and three." @default.
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- W2762137226 date "2017-10-06" @default.
- W2762137226 modified "2023-09-24" @default.
- W2762137226 title "Pure flag simplicial complexes and the ErdH{o}s-Ko-Rado-property" @default.
- W2762137226 hasPublicationYear "2017" @default.
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