Nowhere-Zero Flows in Signed Series-Parallel Graphs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928945" target="_blank" >RIV/49777513:23520/16:43928945 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/140994861" target="_blank" >http://dx.doi.org/10.1137/140994861</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/140994861" target="_blank" >10.1137/140994861</a>
Alternative languages
Result language
angličtina
Original language name
Nowhere-Zero Flows in Signed Series-Parallel Graphs
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA14-19503S" target="_blank" >GA14-19503S: Graph coloring and structure</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM JOURNAL ON DISCRETE MATHEMATICS
ISSN
0895-4801
e-ISSN
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Volume of the periodical
30
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
1248-1258
UT code for WoS article
000385015100033
EID of the result in the Scopus database
2-s2.0-84976871305