Neighborly maps with few vertices

Amos Altshuler; Ulrich Brehm

doi:10.1007/BF02293037

Neighborly maps with few vertices

Amos Altshuler, Ulrich Brehm

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A neighborly map is a simplicial 2-complex which decomposes a closed 2-manifold without boundary, such that any two vertices are joined by an edge (1-cell) in the complex. We find and describe all the neighborly maps with Euler characteristic X>-10 (i.e., genus g<6, if orientable) or, equivalently, all the neighborly maps with V<12 vertices.

Original language	English
Pages (from-to)	93-104
Number of pages	12
Journal	Discrete and Computational Geometry
Volume	8
Issue number	1
DOIs	https://doi.org/10.1007/BF02293037
State	Published - 1 Dec 1992

ASJC Scopus subject areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1007/BF02293037

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title = "Neighborly maps with few vertices",

abstract = "A neighborly map is a simplicial 2-complex which decomposes a closed 2-manifold without boundary, such that any two vertices are joined by an edge (1-cell) in the complex. We find and describe all the neighborly maps with Euler characteristic X>-10 (i.e., genus g<6, if orientable) or, equivalently, all the neighborly maps with V<12 vertices.",

author = "Amos Altshuler and Ulrich Brehm",

year = "1992",

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doi = "10.1007/BF02293037",

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AU - Brehm, Ulrich

PY - 1992/12/1

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N2 - A neighborly map is a simplicial 2-complex which decomposes a closed 2-manifold without boundary, such that any two vertices are joined by an edge (1-cell) in the complex. We find and describe all the neighborly maps with Euler characteristic X>-10 (i.e., genus g<6, if orientable) or, equivalently, all the neighborly maps with V<12 vertices.

AB - A neighborly map is a simplicial 2-complex which decomposes a closed 2-manifold without boundary, such that any two vertices are joined by an edge (1-cell) in the complex. We find and describe all the neighborly maps with Euler characteristic X>-10 (i.e., genus g<6, if orientable) or, equivalently, all the neighborly maps with V<12 vertices.

UR - https://www.scopus.com/pages/publications/0011037055

U2 - 10.1007/BF02293037

DO - 10.1007/BF02293037

M3 - Article

AN - SCOPUS:0011037055

SN - 0179-5376

VL - 8

SP - 93

EP - 104

JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 1

ER -

Neighborly maps with few vertices

Abstract

ASJC Scopus subject areas

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