UNKNOTTABILITY OF SPATIAL GRAPHS BY REGION CROSSING CHANGES

Funakoshi, Yukari; Noguchi, Kenta; Shimizu, Ayaka

Osaka Journal of Mathematics, 2023, 60(3), 671-682

アクセス数:347件（2026-07-20 00:18 集計）

固定URL: https://doi.org/10.18910/92414

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タイトル	UNKNOTTABILITY OF SPATIAL GRAPHS BY REGION CROSSING CHANGES
著者	著者名 Funakoshi, Yukari
	NRID 1000050748613 1000050748613 著者名 Noguchi, Kenta
	NRID 1000040638764 1000040638764 著者名 Shimizu, Ayaka
抄録	A region crossing change is a local transformation on spatial graph diagrams switching the over/under relation at all the crossings on the boundary of a region. In this paper, we show that a spatial graph of a planar graph is unknottable by region crossing changes if and only if the spatial graph is non-Eulerian or is Eulerian and proper.
出版者	Osaka University and Osaka Metropolitan University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(3)
ページ	671-682
刊行年月	2023-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/92414
DOI	https://doi.org/10.18910/92414
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 60, Number 3 （2023-7）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2023, 60(3), p. 671-682
DC.title	UNKNOTTABILITY OF SPATIAL GRAPHS BY REGION CROSSING CHANGES
DC.creator	Funakoshi, Yukari
	Noguchi, Kenta
	Shimizu, Ayaka
DC.publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-07
DCTERMS.abstract	A region crossing change is a local transformation on spatial graph diagrams switching the over/under relation at all the crossings on the boundary of a region. In this paper, we show that a spatial graph of a planar graph is unknottable by region crossing changes if and only if the spatial graph is non-Eulerian or is Eulerian and proper.
DC.identifier	10.18910/92414
DC.format	92414
citation_title	UNKNOTTABILITY OF SPATIAL GRAPHS BY REGION CROSSING CHANGES
citation_author	Funakoshi, Yukari
	Noguchi, Kenta
	Shimizu, Ayaka
citation_publisher	Osaka University and Osaka Metropolitan University, Departments of Mathematics
citation_language	英語
citation_date	2023-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	3
citation_firstpage	671
citation_lastpage	682
citation_public_url	https://hdl.handle.net/11094/92414
citation_doi_detail	10.18910/92414
citation_doi	https://doi.org/10.18910/92414