Flow-continuous mappings : The influence of the group
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286666" target="_blank" >RIV/00216208:11320/14:10286666 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ejc.2013.05.033" target="_blank" >http://dx.doi.org/10.1016/j.ejc.2013.05.033</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2013.05.033" target="_blank" >10.1016/j.ejc.2013.05.033</a>
Alternative languages
Result language
angličtina
Original language name
Flow-continuous mappings : The influence of the group
Original language description
Many conjectures at the core of graph theory can be formulated as questions about certain group-valued flows: examples include the cycle double-cover conjecture, the Berge-Fulkerson conjecture, and Tutte's 3-flow, 4-flow, and 5-flow conjectures. As an approach to these problems, Jaeger, and DeVos, Nesetril, and Raspaud define a notion of graph morphisms continuous with respect to group-valued flows. We discuss the influence of the group on these maps. In particular, we prove that the number of flow-continuous mappings between two graphs does not depend on the group, but only on the largest order of an element of the group (i.e., on the exponent of the group). Further, there is a nice algebraic structure describing for which groups a mapping is flow-continuous. On the combinatorial side, we show that for cubic graphs the only relevant groups are Z(2), Z(3), and Z.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Journal of Combinatorics
ISSN
0195-6698
e-ISSN
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Volume of the periodical
36
Issue of the periodical within the volume
February
Country of publishing house
GB - UNITED KINGDOM
Number of pages
6
Pages from-to
342-347
UT code for WoS article
000328869800031
EID of the result in the Scopus database
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