Some Examples of Graphs Suggesting That the Discrete Curvature Does Sense the Smooth One
Differential Geometry
2026-01-05 v1 Combinatorics
Abstract
In this note, using some regular triangular tilings of the sphere, the Euclidean plane and the hyperbolic plane, we examine the potential relationship between their discrete Bakry - Emery curvatures and the smooth curvatures of their ambient space forms.
Keywords
Cite
@article{arxiv.2601.00665,
title = {Some Examples of Graphs Suggesting That the Discrete Curvature Does Sense the Smooth One},
author = {Gökçe Çakmak and Ali Deniz and Şahin Koçak and Murat Limoncu},
journal= {arXiv preprint arXiv:2601.00665},
year = {2026}
}
Comments
7 pages, 15 figures, 1 table