Single-Boundary Iteration for Polynomial Invariants
2003 ◽
Vol 12
(03)
◽
pp. 355-357
Keyword(s):
In an earlier paper [1] we show that if a family of oriented links obey an iterative pattern, their HOMFLY polynomials satisfy a homogeneous linear recurrence relation. This also holds for Kauffman polynomials. Here we prove the result using a different construction which in some cases yields a recurrence relation of much lower order, thereby drastically reducing the amount of computation required to obtain explicit polynomials for individual members or a general formula for the entire family.
2002 ◽
Vol 11
(01)
◽
pp. 1-12
◽
2003 ◽
Vol 373
◽
pp. 89-99
◽
2008 ◽
Vol 28
(5)
◽
pp. 1369-1375
◽
1978 ◽
Vol 364
(1717)
◽
pp. 265-275
◽
1997 ◽
Vol 42
(11)
◽
pp. 1554-1558
◽
2021 ◽
Vol 2113
(1)
◽
pp. 012070
2009 ◽
Vol 2009
◽
pp. 1-21
◽