Year: 2024
Type: preprint
Abstract: The definition of Ricci curvature on graphs in Bakry-Émery’s sense based on curvature dimension condition was introduced by Lin and Yau [Math. Res. Lett. 17 (2010), pp. 343–356]. Hua and Lin [Comm. Anal. Geom. 27 (2019), pp. 619–638] classified unweighted graphs satisfying the curvature dimension condition C D ( 0 , ∞ ) CD(0,\infty ) whose girth are at least five. In this paper, we classify all of connected unweighted normalized C 4 C_4 -free graphs satisfying curvature dimension condition C D ( 0 , ∞ ) CD(0,\infty ) for minimum degree at least 2 and the case with non-normalized Laplacian without degree condition.
DOI: 10.1090/proc/17145
Authors: Huiqiu Lin, Zhe You
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4404953231