Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Atsuhiro Nakamoto, Katsuhiro Ota

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

It will be shown that any two quadrangulations of an orientable closed surface with the same and sufficiently large number of vertices can be transformed into each other, up to isotopy, by a sequence of diagonal slides and diagonal rotations if they have the same homological structure.

Original languageEnglish
Pages (from-to)125-141
Number of pages17
JournalJournal of Combinatorial Theory. Series B
Volume69
Issue number2
DOIs
Publication statusPublished - 1997 Mar 1

ASJC Scopus subject areas

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

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