The quantum sl(3) invariants of cubic bipartite planar graphs
Geometric Topology
2008-03-27 v2 Combinatorics
Abstract
Temperley-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.
Keywords
Cite
@article{arxiv.math/0602473,
title = {The quantum sl(3) invariants of cubic bipartite planar graphs},
author = {Dongseok Kim and Jaeun Lee},
journal= {arXiv preprint arXiv:math/0602473},
year = {2008}
}