Nonexistence of weakly neighborly polyhedral maps on the orientable 2-manifold of genus 2

Amos Altshuler, Ulrich Brehm

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A weakly neighborly polyhedral map (w.n.p. map) is a 2-dimensional cell-complex which decomposes a closed 2-manifold without boudary, such that for every two vertices there is a 2-cell containing them. We prove that there are no w.n.p. maps on the orientable 2-manifold of genus 2. Genus 2 seems to be unique with respect to this property.

Original languageEnglish
Pages (from-to)87-103
Number of pages17
JournalJournal of Combinatorial Theory - Series A
Volume42
Issue number1
DOIs
StatePublished - 1 Jan 1986

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