Exponentially Many Nowhere-Zero Z_3, Z_4 and Z_6-Flows
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10423620" target="_blank" >RIV/00216208:11320/19:10423620 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iuqhj4vP1Y" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iuqhj4vP1Y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00493-019-3882-x" target="_blank" >10.1007/s00493-019-3882-x</a>
Alternative languages
Result language
angličtina
Original language name
Exponentially Many Nowhere-Zero Z_3, Z_4 and Z_6-Flows
Original language description
We prove that, in several settings, a graph has exponentially many nowhere-zero flows. These results may be seen as a counting alternative to the well-known proofs of existence of Z_3, Z_4 and Z_6-Flows. In the dual setting, proving exponential number of 3-colorings of planar triangle-free graphs is a related open question due to Thomassen.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
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)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Combinatorica
ISSN
0209-9683
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
17
Pages from-to
1-17
UT code for WoS article
000492919200002
EID of the result in the Scopus database
2-s2.0-85074667688