Neighborly maps with few vertices
type: Item
instance of: scholarly article
title: Neighborly maps with few vertices
zbMATH Open document ID: 0756.52014
DOI: 10.1007/BF02293037
author: Amos Altshuler
author: Ulrich Brehm
published in: Discrete \& Computational Geometry
publication date: 1992-09-27T00:00:00Z
review text: The authors present an exhausting and computer-aided list of all triangulations of closed surfaces which have less than 12 vertices and which are neighborly meaning that any pair of vertices is joined by an edge. This concerns the cases of \(n=4,6,7,9\), or 10 vertices. It is found that there are exactly one triangulation for \(n=4,6\) or 7, two triangulations for \(n=9\), and 14 combinatorially distinct triangulations for \(n=10\), among them a very symmetric one with an icosahedral automorphism group. It occurs as a modification of the hemidodecahedron.
reviewed by: Wolfgang Kühnel
Mathematics Subject Classification ID: 52B70
Mathematics Subject Classification ID: 52B55
Mathematics Subject Classification ID: 57Q15
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 61214
zbMATH Keywords: triangulations of closed surfaces
zbMATH Keywords: less than 12 vertices
zbMATH Keywords: neighborly
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 61214