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

Amos Altshuler, Ulrich Brehm

Research output: Contribution to journalArticlepeer-review

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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 languageEnglish
Pages (from-to)355-369
Number of pages15
JournalDiscrete and Computational Geometry
Volume1
Issue number1
DOIs
StatePublished - 1 Dec 1986

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