3 citations · 3 across the 3 of their papers we have counts for
4 papers
The Linking-Unlinking Game
Adam Giambrone, Jake Murphy
Combinatorial two-player games have recently been applied to knot theory. Examples of this include the Knotting-Unknotting Game and the Region Unknotting Game, both of which are pl…
Sigma-Adequate Link Diagrams and the Tutte Polynomial
Adam Giambrone
In this paper, we characterize the sigma-adequacy of a link diagram in two ways: in terms of a certain edge subset of its Tait graph and in terms of a certain product of Tutte poly…
Semi-Adequate Closed Braids and Volume
Adam Giambrone
In this paper, we show that the volumes for a family of A-adequate closed braids can be bounded above and below in terms of the twist number, the number of braid strings, and a qua…
Combinatorics of Link Diagrams and Volume
Adam Giambrone
We show that the volumes of certain hyperbolic A-adequate links can be bounded (above and) below in terms of two diagrammatic quantities: the twist number and the number of certain…