AN ESTIMATE OF THE FIRST NON-ZERO EIGENVALUE OF THE LAPLACIAN BY THE RICCI CURVATURE ON EDGES OF GRAPHS

Yamada, Taiki

Osaka Journal of Mathematics, 2020, 57(1), 151-163

アクセス数:149件（2025-05-22 01:46 集計）

固定URL: https://doi.org/10.18910/73742

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タイトル	AN ESTIMATE OF THE FIRST NON-ZERO EIGENVALUE OF THE LAPLACIAN BY THE RICCI CURVATURE ON EDGES OF GRAPHS
著者	著者名 Yamada, Taiki
抄録	We define the distance between edges of graphs and study the coarse Ricci curvature on edges. We consider the Laplacian on edges based on the Jost-Horak’s definition of the Laplacian on simplicial complexes. As one of our main results, we obtain an estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature for a regular graph.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(1)
ページ	151-163
刊行年月	2020-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73742
DOI	https://doi.org/10.18910/73742
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 57, Number 1 （2020-1）

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. 2020, 57(1), p. 151-163
DC.title	AN ESTIMATE OF THE FIRST NON-ZERO EIGENVALUE OF THE LAPLACIAN BY THE RICCI CURVATURE ON EDGES OF GRAPHS
DC.creator	Yamada, Taiki
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-01
DCTERMS.abstract	We define the distance between edges of graphs and study the coarse Ricci curvature on edges. We consider the Laplacian on edges based on the Jost-Horak’s definition of the Laplacian on simplicial complexes. As one of our main results, we obtain an estimate of the first non-zero eigenvalue of the Laplacian by the Ricci curvature for a regular graph.
DC.identifier	10.18910/73742
DC.format	73742
citation_title	AN ESTIMATE OF THE FIRST NON-ZERO EIGENVALUE OF THE LAPLACIAN BY THE RICCI CURVATURE ON EDGES OF GRAPHS
citation_author	Yamada, Taiki
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	1
citation_firstpage	151
citation_lastpage	163
citation_public_url	https://hdl.handle.net/11094/73742
citation_doi_detail	10.18910/73742
citation_doi	https://doi.org/10.18910/73742