Consider for example the approach to the Kuperberg G2 or the Yamada polynomial. I don't know whether relations of graph (in contrast to knot) theory are also usually called "skein" but I simply carry ...
Hi, please note that this question deals with undirected knots/links! The most generic cubic skein relation for a knot polynome would be where w^3 is one positive writhe unit. The form is fairly ...