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- W4814497 abstract "We introduce a generalization of the Krushkal polynomial to nonorientable surfaces, and prove that this polynomial has a natural quasi-tree expansion. This generalized Krushkal polynomial contains the Bollobás–Riordan polynomial of a (possibly nonorientable) ribbon graph as a specialization. The quasi-tree expansion proven here then extends the recent quasi-tree expansions of the Bollobás–Riordan polynomial deduced in the oriented case by A. Champanerkar et al. and in the more general unoriented case by E. Dewey and F. Vignes-Tourneret. The generalized Krushkal polynomial also contains the Las Vergnas polynomial of a cellulation of a surface as a specialization; we use this fact to deduce a quasi-tree expansion for the Las Vergnas polynomial." @default.
- W4814497 created "2016-06-24" @default.
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- W4814497 date "2018-03-01" @default.
- W4814497 modified "2023-09-30" @default.
- W4814497 title "A quasi-tree expansion of the Krushkal polynomial" @default.
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- W4814497 doi "https://doi.org/10.1016/j.aam.2016.06.003" @default.
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