54 citations · 61 across the 6 of their papers we have counts for
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math.CO2007★ 2 cited
Generalized duality for graphs on surfaces and the signed Bollobas-Riordan polynomial
Sergei Chmutov
We generalize the natural duality of graphs embedded into a surface to a duality with respect to a subset of edges. The dual graph might be embedded into a different surface. We pr…
math.GT2007
Thistlethwaite's theorem for virtual links
Sergei Chmutov, Jeremy Voltz
The celebrated Thistlethwaite theorem relates the Jones polynomial of a link with the Tutte polynomial of the corresponding planar graph. We give a generalization of this theorem t…