Diagonal transformations of graphs and dehn twists of surfaces

Atsuhiro Nakamoto, Katsuhiro Ota

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


In this paper we shall show that any two bipartite quadrangulations of a closed surface can be transformed into each other by diagonal slides and diagonal rotations, up to isotopy, if they have the same and sufficiently large number of vertices. Also, we show the same fact for triangulations of a closed surface.

Original languageEnglish
Pages (from-to)292-300
Number of pages9
JournalJournal of Combinatorial Theory. Series B
Issue number2
Publication statusPublished - 1997 Jul

ASJC Scopus subject areas

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


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