Year: 2025
Type: article
Abstract: In this article we study two discrete curvature notions, Bakry-Émery curvature and Ollivier Ricci curvature, on Cayley graphs. We introduce Right Angled Artin-Coxeter Hybrids (RAACHs) generalizing Right Angled Artin and Coxeter groups (RAAGs and RACGs) and derive the curvatures of Cayley graphs of certain RAACHs. Moreover, we show for general finitely presented groups $\Gamma = \langle S \, \mid\, R \rangle$ that addition of relators does not lead to a decrease in the weighted curvatures of their Cayley graphs with adapted weighting schemes.
DOI: 10.37236/13434
Authors: David Cushing, Supanat Kamtue, Riikka Kangaslampi, Shiping Liu, Florentin Münch, Norbert Peyerimhoff
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Awards: G2907593554, G5388351227, G5641300969
OpenAlex ID: W4413132444