Diagonal transformations of graphs and dehn twists of surfaces

Atsuhiro Nakamoto; Katsuhiro Ota

doi:10.1006/jctb.1997.1759

Diagonal transformations of graphs and dehn twists of surfaces

Atsuhiro Nakamoto, Katsuhiro Ota

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	292-300
Number of pages	9
Journal	Journal of Combinatorial Theory. Series B
Volume	70
Issue number	2
DOIs	https://doi.org/10.1006/jctb.1997.1759
Publication status	Published - 1997 Jul

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1006/jctb.1997.1759

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title = "Diagonal transformations of graphs and dehn twists of surfaces",

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.",

author = "Atsuhiro Nakamoto and Katsuhiro Ota",

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AB - 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.

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Diagonal transformations of graphs and dehn twists of surfaces

Abstract

ASJC Scopus subject areas

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