Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Atsuhiro Nakamoto, Katsuhiro Ota

Research output: Contribution to journalArticle

10 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

Fingerprint

Dehn Twist
Quadrangulation
Parity
Cycle
Isotopy
Closed

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities. / Nakamoto, Atsuhiro; Ota, Katsuhiro.

In: Journal of Combinatorial Theory. Series B, Vol. 69, No. 2, 03.1997, p. 125-141.

Research output: Contribution to journalArticle

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