Quartic graphs which are Bakry-Émery curvature sharp

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Abstract

We give a classification of all connected quartic graphs which are (infinity) curvature sharp in all vertices with respect to Bakry-Émery curvature. The result is based on a computer classification by F. Gurr and L. Watson May and a combinatorial case by case investigation.

Keywords

Quartic graphs
Bakry-Émery curvature
Computer classification

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