Region crossing change on spatial-graph diagrams

Kenta Hayano, Ayaka Shimizu, Reiko Shinjo

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Region crossing change at a region of a knot, link or spatial-graph diagram is a local transformation which changes all the crossings on the boundary of the region. In this paper, we show that we can make any crossing change by a finite number of region crossing changes on any diagram of a connected spatial graph which has no cutting circles.

Original languageEnglish
Article number1550045
JournalJournal of Knot Theory and its Ramifications
Volume24
Issue number8
DOIs
Publication statusPublished - 2015 Jul 14
Externally publishedYes

Fingerprint

Spatial Graph
Diagram
Knot
Connected graph
Circle

Keywords

  • Region crossing change
  • spatial-graph diagram

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Region crossing change on spatial-graph diagrams. / Hayano, Kenta; Shimizu, Ayaka; Shinjo, Reiko.

In: Journal of Knot Theory and its Ramifications, Vol. 24, No. 8, 1550045, 14.07.2015.

Research output: Contribution to journalArticle

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