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The first gap for total curvatures of planar graphs with nonnegative curvature
[article]
2017
arXiv
pre-print
Preserved Fulltext
We prove that the total curvature of a planar graph with nonnegative combinatorial curvature is at least 1/12 if it is positive. Moreover, we classify the metric structures of ambient polygonal surfaces for planar graphs attaining this bound.
arXiv:1709.05309v1
fatcat:ewlcyb3iuvdjhpzoiqjskbkxpu