EQUIVALENT CLASSES OF DEGREE SEQUENCES FOR TRIANGULATED POLYHEDRA AND THEIR CONVEX REALIZATION - Archive ouverte HAL Access content directly
Journal Articles Contributions to Discrete Mathematics Year : 2021

EQUIVALENT CLASSES OF DEGREE SEQUENCES FOR TRIANGULATED POLYHEDRA AND THEIR CONVEX REALIZATION

Abstract

We define an equivalence on the set of all degree sequences of a triangulated polyhedron with a fixed number of vertices and compute them and their cardinal via an algorithm. We also prove that each class is realizable as a convex polyhedron.
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Dates and versions

hal-03607010 , version 1 (12-03-2022)

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Pascal Honvault. EQUIVALENT CLASSES OF DEGREE SEQUENCES FOR TRIANGULATED POLYHEDRA AND THEIR CONVEX REALIZATION. Contributions to Discrete Mathematics, 2021, ⟨10.11575/cdm.v16i1.62636⟩. ⟨hal-03607010⟩
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