THE QUANTUM 𝔰𝔩(3) INVARIANTS OF CUBIC BIPARTITE PLANAR GRAPHS
2008 ◽
Vol 17
(03)
◽
pp. 361-375
◽
Temperley–Lieb algebras have been generalized to 𝔰𝔩(3,ℂ) 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 prime webs. We provide a method to find all prime webs. Using the quantum 𝔰𝔩(3) invariants, we provide a criterion which determines the symmetry of cubic bipartite planar graphs. We also provide an example that our criterions for graphs is different from that of links.
1996 ◽
Vol 05
(06)
◽
pp. 877-883
◽
2020 ◽
Vol 12
(03)
◽
pp. 2050034
2020 ◽
Vol 12
(04)
◽
pp. 2050035
Keyword(s):
2011 ◽
Vol 50-51
◽
pp. 245-248
2020 ◽
Vol 40
(4)
◽
pp. 1121-1135
2000 ◽
Vol 09
(08)
◽
pp. 975-986
◽
Keyword(s):
1996 ◽
Vol 5
(3)
◽
pp. 227-245
◽
Keyword(s):