A Global Poincaré inequality on Graphs via a Conical Curvature-Dimension Condition
Abstract: We introduce and study the conical curvature-dimension condition, CCD (K, N), for finite graphs.We show that CCD (K, N) provides necessary and sufficient conditions for the underlying graph to satisfy a sharp global Poincaré inequality which in turn translates to a sharp lower bound for the first eigenvalues of these graphs. Another application of the conical curvature-dimension analysis is finding a sharp estimate on the curvature of complete graphs
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A Global Poincaré inequality on Graphs via a Conical Curvature-Dimension Condition ; volume:6 ; number:1 ; year:2018 ; pages:32-47 ; extent:16
Analysis and geometry in metric spaces ; 6, Heft 1 (2018), 32-47 (gesamt 16)
- Creator
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Lakzian, Sajjad
Mcguirk, Zachary
- DOI
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10.1515/agms-2018-0002
- URN
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urn:nbn:de:101:1-2024041116151395088161
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:49 AM CEST
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Associated
- Lakzian, Sajjad
- Mcguirk, Zachary
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