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[期刊论文]

The first gap for total curvatures of planar graphs with nonnegative curvature

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author:

Hua, B. (Hua, B..) [1] | Su, Y. (Su, Y..) [2]

Indexed by:

Scopus

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. © 2019 Wiley Periodicals, Inc.

Keyword:

combinatorial curvature; planar graphs; total curvature

Community:

  • [ 1 ] [Hua, B.]School of Mathematical Sciences, LMNS, Fudan University, Shanghai, China
  • [ 2 ] [Su, Y.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, China

Reprint 's Address:

  • [Su, Y.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

Journal of Graph Theory

ISSN: 0364-9024

Year: 2020

Issue: 3

Volume: 93

Page: 395-439

0 . 8 5 7

JCR@2020

0 . 9 0 0

JCR@2023

ESI HC Threshold:50

JCR Journal Grade:3

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 3

30 Days PV: 2

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