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Nowhere-zero 3-flows in graphs admitting solvable arc-transitive groups of automorphisms

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成果类型:
期刊论文
作者:
Li, Xiangwen*;Zhou, Sanming
通讯作者:
Li, Xiangwen
作者机构:
[Li, Xiangwen] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
[Zhou, Sanming] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia.
通讯机构:
[Li, Xiangwen] H
Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Arc-transitive graph;Integer flow;Nowhere-zero 3-flow;Solvable group;Vertex-transitive graph
期刊:
ARS MATHEMATICA CONTEMPORANEA
ISSN:
1855-3966
年:
2016
卷:
10
期:
1
页码:
85-90
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11171129]; Future Fellowship of the Australian Research CouncilAustralian Research Council
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Tutte's 3-flow conjecture asserts that every 4-edge-connected graph has a nowhere-zero 3-flow. In this note we prove that every regular graph of valency at least four admitting a solvable arc-transitive group of automorphisms...

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