The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic -2

Amos Altshuler; Ulrich Brehm

doi:10.1016/0097-3165(87)90048-3

The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic -2

Amos Altshuler, Ulrich Brehm

Department of Mathematics

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

Abstract

A weakly neighborly polyhedral map (w.n.p. map) is a 2-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 eight non-orientable w.n.p. maps with Euler characteristic -2 and we describe them.

Original language	English
Pages (from-to)	104-124
Number of pages	21
Journal	Journal of Combinatorial Theory - Series A
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(87)90048-3
State	Published - 1 Jan 1987

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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Cite this

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abstract = "A weakly neighborly polyhedral map (w.n.p. map) is a 2-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 eight non-orientable w.n.p. maps with Euler characteristic -2 and we describe them.",

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AB - A weakly neighborly polyhedral map (w.n.p. map) is a 2-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 eight non-orientable w.n.p. maps with Euler characteristic -2 and we describe them.

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The weakly neighborly polyhedral maps on the non-orientable 2-manifold with Euler characteristic -2

Abstract

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