Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Atsuhiro Nakamoto; Katsuhiro Ota

doi:10.1006/jctb.1997.1730

Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Atsuhiro Nakamoto, Katsuhiro Ota

Department of Mathematics

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

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 language	English
Pages (from-to)	125-141
Number of pages	17
Journal	Journal of Combinatorial Theory. Series B
Volume	69
Issue number	2
DOIs	https://doi.org/10.1006/jctb.1997.1730
Publication status	Published - 1997 Mar

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

Access to Document

10.1006/jctb.1997.1730

Cite this

@article{57b00bf76cd44fefbb0a0b08a3e74d02,

title = "Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities",

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.",

author = "Atsuhiro Nakamoto and Katsuhiro Ota",

year = "1997",

month = mar,

doi = "10.1006/jctb.1997.1730",

language = "English",

volume = "69",

pages = "125--141",

journal = "Journal of Combinatorial Theory. Series B",

issn = "0095-8956",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

AU - Nakamoto, Atsuhiro

AU - Ota, Katsuhiro

PY - 1997/3

Y1 - 1997/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0040655281&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040655281&partnerID=8YFLogxK

U2 - 10.1006/jctb.1997.1730

DO - 10.1006/jctb.1997.1730

M3 - Article

AN - SCOPUS:0040655281

SN - 0095-8956

VL - 69

SP - 125

EP - 141

JO - Journal of Combinatorial Theory. Series B

JF - Journal of Combinatorial Theory. Series B

IS - 2

ER -

Diagonal Transformations in Quadrangulations and Dehn Twists Preserving Cycle Parities

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this