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Abstract：
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.
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Source ：
JOURNAL OF GRAPH THEORY
ISSN： 0364-9024
Year： 2019
Issue： 3
Volume： 93
Page： 395-439
0 . 9 2 2
JCR@2019
0 . 9 0 0
JCR@2023
ESI Discipline： MATHEMATICS;
ESI HC Threshold：59
JCR Journal Grade：2
CAS Journal Grade：3
Cited Count：
WoS CC Cited Count： 3
SCOPUS Cited Count： 3
ESI Highly Cited Papers on the List： 0 Unfold All
WanFang Cited Count：
Chinese Cited Count：
30 Days PV： 1
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