Homomorphisms of Cayley graphs and Cycle Double Covers

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369478" target="_blank" >RIV/00216208:11320/17:10369478 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.endm.2017.07.018" target="_blank" >http://dx.doi.org/10.1016/j.endm.2017.07.018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.endm.2017.07.018" target="_blank" >10.1016/j.endm.2017.07.018</a>

Result language
angličtina
Original language name
Homomorphisms of Cayley graphs and Cycle Double Covers
Original language description
We study the following conjecture of Matt DeVos: If there is a graph homomorphism from Cayley graph $Cay(M, B)$ to another Cayley graph $Cay(M', B')$ then every graph with $(M,B)$-flow has $(M',B')$-flow. This conjecture was originally motivated by the flow-tension duality. We show that a natural strengthening of this conjecture does not hold in all cases but we conjecture that it still holds for an interesting subclass of them and we prove a partial result in this direction. We also show that the original conjecture implies the existence of oriented cycle double cover with a small number of cycles.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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)

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)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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