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- W3204376633 abstract "The Holt-Klee theorem says that the graph of a $d$-polytope, with edges oriented by a linear function on $P$ that is not constant on any edge, admits $d$ independent monotone paths from the source to the sink. We prove that the digraphs obtained from oriented matroid programs of rank $d+1$ on $n+2$ elements, which include those from $d$-polytopes with $n$ facets, admit $d$ independent monotone paths from source to sink if $d le 4$. This was previously only known to hold for $dle 3$ and $nle 6$." @default.
- W3204376633 created "2021-10-11" @default.
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- W3204376633 date "2021-09-30" @default.
- W3204376633 modified "2023-09-27" @default.
- W3204376633 title "On the Holt-Klee Property for Oriented Matroid Programming" @default.
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