Generalized duality for graphs on surfaces and the signed Bollobas-Riordan polynomial

Simple item page
dc.creatorChmutov, Sergei
dc.date2007-11-22
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:12:34Z
dc.date.available2026-07-07T12:12:34Z
dc.descriptionWe 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 prove a relation between the signed Bollobas-Riordan polynomials of dual graphs. This relation unifies various recent results expressing the Jones polynomial of links as specializations of the Bollobas-Riordan polynomials.
dc.descriptionTo appear in J. Combin. Theory Ser. B (2009), doi:10.1016/j.jctb.2008.09.007
dc.identifierhttps://arxiv.org/abs/0711.3490
dc.identifierhttp://arxiv.org/abs/0711.3490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210585
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.subject05C10; 57M15; 57M27
dc.titleGeneralized duality for graphs on surfaces and the signed Bollobas-Riordan polynomial
dc.typetext

Files

Collections

arXiv