TOTAL CURVATURE OF PLANAR GRAPHS WITH NONNEGATIVE COMBINATORIAL CURVATURE - Details

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author：

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

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Abstract：

We　prove　that　the　total　curvature　of　any　planar　graph　with　nonnegative　combinatorial　curvature　is　an　integral　multiple　of　121　.　As　a　corollary,　this　answers　a　question　proposed　by　T.　Réti.　©　2022　American　Mathematical　Society.

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[ 1 ] [Hua, B.]School of Mathematical Sciences, LMNS, Fudan University, Shanghai, 200433, China
[ 2 ] [Su, Y.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350116, China
[ 3 ] [Su, Y.]Key Laboratory of Operations Research and Control, Universities in Fujian, Fuzhou, China

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Source ：

Transactions of the American Mathematical Society

ISSN： 0002-9947

Year： 2022

Issue： 12

Volume： 375

Page： 8423-8444

1 . 3

JCR@2022

1 . 2 0 0

JCR@2023

ESI HC Threshold：24

JCR Journal Grade：2

CAS Journal Grade：2

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WoS CC Cited Count： 0

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ESI Highly Cited Papers on the List： 0 Unfold All

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30 Days PV： 4

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