The first gap for total curvatures of planar graphs with nonnegative curvature
classification
🧮 math.CO
keywords
curvatureplanargraphsnonnegativetotalambientattainingbound
read the original abstract
We prove that the total curvature of a planar graph with nonnegative combinatorial curvature is at least $\frac{1}{12}$ if it is positive. Moreover, we classify the metric structures of ambient polygonal surfaces for planar graphs attaining this bound.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.