A Tutte polynomial for maps II The non-orientable case

Open Access
Authors
Publication date 05-2020
Journal European Journal of Combinatorics
Article number 103095
Volume | Issue number 86
Number of pages 32
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We construct a new polynomial invariant of maps (graphs embedded in a closed surface, orientable or non-orientable), which 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. Other evaluations include the number of local flows and local tensions taking non-identity values in a given finite group.
Document type Article
Language English
Published at https://doi.org/10.1016/j.ejc.2020.103095
Published at https://arxiv.org/abs/1804.01496
Other links https://www.scopus.com/pages/publications/85082128276
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A Tutte polynomial for maps II arxiv (Submitted manuscript)
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