Geometric and spectral properties of directed graphs under a lower Ricci curvature bound

Research output: Contribution to journalArticlepeer-review

Abstract

For undirected graphs, the Ricci curvature introduced by Lin-Lu-Yau has been widely studied from various perspectives, especially geometric analysis. In the present paper, we discuss generalization problem of their Ricci curvature for directed graphs. We introduce a new generalization for strongly connected directed graphs by using the mean transition probability kernel which appears in the formulation of the Chung Laplacian. We conclude several geometric and spectral properties under a lower Ricci curvature bound extending previous results in the undirected case.

Original languageEnglish
Article number142
JournalCalculus of Variations and Partial Differential Equations
Volume59
Issue number4
DOIs
Publication statusPublished - 2020 Aug 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Geometric and spectral properties of directed graphs under a lower Ricci curvature bound'. Together they form a unique fingerprint.

Cite this