A Tutte polynomial for non-orientable maps

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368612" target="_blank" >RIV/00216208:11320/17:10368612 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.endm.2017.07.001" target="_blank" >http://dx.doi.org/10.1016/j.endm.2017.07.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.endm.2017.07.001" target="_blank" >10.1016/j.endm.2017.07.001</a>

Result language
angličtina
Original language name
A Tutte polynomial for non-orientable maps
Original language description
We construct a new polynomial invariant of maps (graphs embedded in closed surfaces, not necessarily orientable). Our invariant is tailored to contain as evaluations the number of local flows and local tensions taking non-identity values in any given finite group. Moreover, it contains as specializations the Krushkal polynomial, the Bollobás-Riordan polynomial, the Las Vergnas polynomial, and their extensions to non-orientable surfaces, and hence in particular the Tutte polynomial of the under-lying graph of the map.
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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