Polyhedral suspensions of arbitrary genus
type: Item
instance of: scholarly article
title: Polyhedral suspensions of arbitrary genus
zbMATH Open document ID: 1208.57003
published in: Graphs and Combinatorics
publication date: 2010-11-12T00:00:00Z
review text: A bipyramid is a Euclidean polyhedron with triangular faces such that there exist two non-adjacent vertices each adjacent to the other vertices lying in a same plane, and without self-intersection. The author constructs bipyramids of arbitrary genus. The already known construction in the genus one case is recalled.
reviewed by: François Fillastre
Mathematics Subject Classification ID: 57M20
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 90C57
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 52B70
Mathematics Subject Classification ID: 57M15
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 51M04
Mathematics Subject Classification ID: 55P40
zbMATH DE Number: 5815680
zbMATH Keywords: Regular polyhedra
zbMATH Keywords: Simplicial complexes
zbMATH Keywords: Planarity
zbMATH Keywords: Graph embedding
zbMATH Keywords: Maximum genus
author: Serge Lawrencenko
MaRDI profile type: Publication
full work available at URL: s00373-010-0938-5
OpenAlex ID: W2039092128
cites work: Q5573028
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cites work: Graphs of given genus and arbitrarily large maximum genus
cites work: SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
DOI: 10.1007/S00373-010-0938-5
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description: scientific article; zbMATH DE number 5815680