A Global Poincaré inequality on Graphs via a Conical Curvature-Dimension Condition

A Global Poincaré inequality on Graphs via a Conical Curvature-Dimension Condition

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 eige...

Полное описание

Библиографические подробности
Главные авторы:	Lakzian Sajjad, Mcguirk Zachary
Формат:	Статья
Язык:	English
Опубликовано:	De Gruyter 2018-02-01
Серии:	Analysis and Geometry in Metric Spaces
Предметы:	graph curvature-dimension cone poincaré inequality ricci curvature 53cxx 52cxx 51fxx 05c99
Online-ссылка:	https://doi.org/10.1515/agms-2018-0002

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