6 citations · 7 across the 2 of their papers we have counts for
2 papers
math.CO2014★ 6 cited
Counting With Irrational Tiles
Scott Garrabrant, Igor Pak
We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides with the class of diag…
math.GT2010★ 1 cited
Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots
Scott M. Garrabrant, Jim Hoste, Patrick D. Shanahan
In this paper we use continued fractions to study a partial order on the set of 2-bridge knots derived from the work of Ohtsuki, Riley, and Sakuma. We establish necessary and suffi…