The weakly neighborly polyhedral maps on the 2-manifold with euler characteristic -1

Amos Altshuler; Ulrich Brehm

doi:10.1007/BF02187707

The weakly neighborly polyhedral maps on the 2-manifold with euler characteristic -1

Amos Altshuler
, Ulrich Brehm

Department of Mathematics

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

4 Scopus citations

Abstract

A weakly neighborly polyhedral map (w.n.p. map) is a two-dimensional cell-complex which decomposes a closed 2-manifold without boundary, such that for every two vertices there is a 2-cell containing them. We prove that there are just four w.n.p. maps with Euler characteristic -1 and we describe them.

Original language	English
Pages (from-to)	355-369
Number of pages	15
Journal	Discrete and Computational Geometry
Volume	1
Issue number	1
DOIs	https://doi.org/10.1007/BF02187707
State	Published - 1 Dec 1986

ASJC Scopus subject areas

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

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title = "The weakly neighborly polyhedral maps on the 2-manifold with euler characteristic -1",

abstract = "A weakly neighborly polyhedral map (w.n.p. map) is a two-dimensional cell-complex which decomposes a closed 2-manifold without boundary, such that for every two vertices there is a 2-cell containing them. We prove that there are just four w.n.p. maps with Euler characteristic -1 and we describe them.",

author = "Amos Altshuler and Ulrich Brehm",

year = "1986",

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T1 - The weakly neighborly polyhedral maps on the 2-manifold with euler characteristic -1

AU - Altshuler, Amos

AU - Brehm, Ulrich

PY - 1986/12/1

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N2 - A weakly neighborly polyhedral map (w.n.p. map) is a two-dimensional cell-complex which decomposes a closed 2-manifold without boundary, such that for every two vertices there is a 2-cell containing them. We prove that there are just four w.n.p. maps with Euler characteristic -1 and we describe them.

AB - A weakly neighborly polyhedral map (w.n.p. map) is a two-dimensional cell-complex which decomposes a closed 2-manifold without boundary, such that for every two vertices there is a 2-cell containing them. We prove that there are just four w.n.p. maps with Euler characteristic -1 and we describe them.

UR - https://www.scopus.com/pages/publications/34250128326

U2 - 10.1007/BF02187707

DO - 10.1007/BF02187707

M3 - Article

AN - SCOPUS:34250128326

SN - 0179-5376

VL - 1

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JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 1

ER -

The weakly neighborly polyhedral maps on the 2-manifold with euler characteristic -1

Abstract

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