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Convex and linear orientations of polytopal graphs

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Publication:1580764
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DOI10.1007/s004540010046zbMath0956.05048OpenAlexW2066215968MaRDI QIDQ1580764

Victor Klee, James Mihalisin

Publication date: 7 March 2001

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004540010046

zbMATH Keywords

digraphcharacterizationconvex functionsacyclic orientation


Mathematics Subject Classification ID

Polytopes and polyhedra (52B99) Directed graphs (digraphs), tournaments (05C20) Graph representations (geometric and intersection representations, etc.) (05C62)


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The Random‐Facet simplex algorithm on combinatorial cubes, A Mihalisin-Klee theorem for fans, On the Monotone Upper Bound Problem, Enumerative problems for arborescences and monotone paths on polytope graphs, On the Holt-Klee property for oriented matroid programming, The Holt-Klee condition for oriented matroids, On the Length of Monotone Paths in Polyhedra, Discrete one-forms on meshes and applications to 3D mesh parameterization



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