NOWHERE-ZERO FLOWS IN SIGNED SERIES-PARALLEL GRAPHS

被引：9
|
作者：
Kaiser, Tomas [1 ,2 ,3 ]
Rollova, Edita [1 ,2 ]
机构：
[1] Univ West Bohemia, Dept Math, Univ 8, Plzen 30614, Czech Republic
[2] Univ West Bohemia, European Ctr Excellence NTIS New Technol Informat, Univ 8, Plzen 30614, Czech Republic
[3] Inst Theoret Comp Sci CE ITI, Prague, Czech Republic
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2016年 / 30卷 / 02期
关键词：
signed graph; series-parallel graph; nowhere-zero flow; Bouchet's conjecture;
D O I：
10.1137/140994861
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bouchet conjectured in 1983 that each signed graph that admits a nowhere-zero flow has a nowhere-zero 6-flow. We prove that the conjecture is true for all signed series-parallel graphs. Unlike the unsigned case, the restriction to series-parallel graphs is nontrivial; in fact, the result is tight for infinitely many graphs.
引用
收藏
页码：1248 / 1258
页数：11
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