The quantum sl(3) invariants of cubic bipartite planar graphs

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dc.creatorKim, Dongseok
dc.creatorLee, Jaeun
dc.date2006-02-21
dc.date2006-02-22
dc.date.accessioned2026-07-07T09:28:41Z
dc.date.available2026-07-07T09:28:41Z
dc.descriptionTemperley-Lieb algebras have been generalized to sl(3) web spaces. Since a cubic bipartite planar graph with suitable directions on edges is a web, the quantum sl(3) invariants naturally extend to all cubic bipartite planar graphs. First we completely classify them as a connected sum of primes webs. We also provide a method to find all prime webs and exhibit all prime webs up to 20 vertices. Using quantum sl(3) invariants, we provide a criterion which determine the symmetry of graphs.
dc.identifierhttps://arxiv.org/abs/math/0602473
dc.identifierhttp://arxiv.org/abs/math/0602473
dc.identifierJournal of knot theory and its ramifications 17(3) (2008), 361-375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157511
dc.subjectGeometric Topology
dc.subjectCombinatorics
dc.subject57M15:05C99
dc.titleThe quantum sl(3) invariants of cubic bipartite planar graphs
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