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- W4319604497 abstract "We show that the graph of a simplicial polytope of dimension $d ge 3$ has no nontrivial minimum edge cut with fewer than $d(d+1)/2$ edges, hence the graph is $min{delta, d(d+1)/2}$-edge-connected where $delta$ denotes the minimum degree. When $d = 3$, this implies that every minimum edge cut in a plane triangulation is trivial. When $d ge 4$, we construct a simplicial $d$-polytope whose graph has a nontrivial minimum edge cut of cardinality $d(d+1)/2$, proving that the aforementioned result is best possible." @default.
- W4319604497 created "2023-02-09" @default.
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- W4319604497 date "2022-09-16" @default.
- W4319604497 modified "2023-10-17" @default.
- W4319604497 title "Edge connectivity of simplicial polytopes" @default.
- W4319604497 doi "https://doi.org/10.48550/arxiv.2209.07792" @default.
- W4319604497 hasPublicationYear "2022" @default.
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