13 citations · 17 across the 4 of their papers we have counts for
5 papers
Genera and crossing numbers of -bridge knots
Masaaki Suzuki, Anh T. Tran
In this paper, we determine the average genus of all the -bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the cross…
Generating function on epimorphisms between -bridge knot groups
Masaaki Suzuki
We have the generating function which determines the number of -bridge knot groups admitting epimorphisms onto the knot group of a given -bridge knot, in terms of crossing nu…
Genera of two-bridge knots and epimorphisms of their knot groups
Masaaki Suzuki, Anh T. Tran
Let be two-bridge knots of genus respectively. We show the necessary and sufficient condition of in terms of that there exists an epimorphism from the knot gro…
A partial order on the set of prime knots with up to 11 crossings
Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1
Let be a prime knot in and the knot group. We write if there exists a surjective homomorphism from onto . In this paper,…
Twisted Alexander polynomials and a partial order on the set of prime knots
Teruaki Kitano, Masaaki Suzuki
We give a survey of some recent papers by the authors and Masaaki Wada relating the twisted Alexander polynomial with a partial order on the set of prime knots. We also give exampl…