Construction and representation of neighborly manifolds

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5 Scopus citations

Abstract

We deal with neighborly 2-manifolds and 2-pseudomanifolds. We describe a representation of these objects, which is independent of the particular labelling of their vertices. This representation also enables an easy calculation of the automorphism group. We describe two operations which, when applied to one such object, enable us to obtain many (and perhaps all) other such objects with the same number of vertices. Finally, we apply those operations to manifolds and pseudomanifolds with v vertices, for some small values of v.

Original languageEnglish
Pages (from-to)246-267
Number of pages22
JournalJournal of Combinatorial Theory - Series A
Volume77
Issue number2
DOIs
StatePublished - 1 Jan 1997

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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