Article ID Journal Published Year Pages File Type
4653872 European Journal of Combinatorics 2013 7 Pages PDF
Abstract

We obtain lower bounds on the clique number and chromatic number for finite simple graphs using Ollivier’s Ricci curvature. Also we study the relations between girth and curvature. From these, we obtain curvature conditions for 3-colorability of a planar graph.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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