论文标题

在多面体的骨架的超图连通性上

On the hypergraph connectivity of skeleta of polytopes

论文作者

Hathcock, Daniel, Yu, Josephine

论文摘要

我们表明,每$ d $二维的多层人物,其节点为$ k $ faces且其超计划为$(k+1)$ - polytope的面孔很强$(D-K)$(D-k)$ - VERTEX已连接,每个$ 0 $ 0 \ leq k \ leq k \ leq d-1 $ $。

We show that for every $d$-dimensional polytope, the hypergraph whose nodes are $k$-faces and whose hyperedges are $(k+1)$-faces of the polytope is strongly $(d-k)$-vertex connected, for each $0 \leq k \leq d- 1$.

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