Quartic graphs which are Bakry-Emery curvature sharp

被引：3

作者：

Cushing, David ^{[1
]}

Kamtue, Supanat ^{[1
]}

Peyerimhoff, Norbert ^{[1
]}

May, Leyna Watson ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

来源：

DISCRETE MATHEMATICS | 2020年 / 343卷 / 03期

关键词：

Quartic graphs; Bakry-Emery curvature; Computer classification;

D O I：

10.1016/j.disc.2019.111767

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a classification of all connected quartic graphs which are (infinity) curvature sharp in all vertices with respect to Bakry-Emery curvature. The result is based on a computer classification by F. Gurr and L. Watson May and a combinatorial case by case investigation. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：15

共 10 条

[1]

[Anonymous], ARXIV190210665

[2]

[Anonymous], UNIVERSITEXT

[3]

[Anonymous], ARXIV170506789

[4]

Bakry D., 1985, Sem. Prob. XIX. Lect. Notes in Maths., P177, DOI 10.1007/BFb0075847

[5] EIGENVALUE COMPARISON THEOREMS AND ITS GEOMETRIC APPLICATIONS [J].

CHEN, SY .

MATHEMATISCHE ZEITSCHRIFT, 1975, 143 (03) :289-297

[6] The Graph Curvature Calculator and the Curvatures of Cubic Graphs [J].

Cushing, David ;

Kangaslampi, Riikka ;

Lipiainen, Valtteri ;

Liu, Shiping ;

Stagg, George W. .

EXPERIMENTAL MATHEMATICS, 2022, 31 (02) :583-595

[7] Bakry-Emery Curvature Functions on Graphs [J].

Cushing, David ;

Liu, Shiping ;

Peyerimhoff, Norbert .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2020, 72 (01) :89-143

[8] Discrete Curvature and Abelian Groups [J].

Klartag, Bo'az ;

Kozma, Gady ;

Ralli, Peter ;

Tetali, Prasad .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2016, 68 (03) :655-674

[9] Bakry-Emery curvature and diameter bounds on graphs [J].

Liu, Shiping ;

Muench, Florentin ;

Peyerimhoff, Norbert .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (02)

[10]

Schmuckenschlager M., 1999, CONVEX GEOMETRIC ANA, V34, P189

← 1 →