Diagonal transformations of graphs and dehn twists of surfaces

Atsuhiro Nakamoto, Katsuhiro Ota

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

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
Volume70
Issue number2
Publication statusPublished - 1997 Jul

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ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

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