3 papers
math.CO2018
Unimodal Polynomials and Lattice Walk Enumeration with Experimental Mathematics
Bryan Ek
The main theme of this dissertation is retooling methods to work for different situations. I have taken the method derived by O'Hara and simplified by Zeilberger to prove unimodali…
math.CO2018
Lattice Walk Enumeration
Bryan Ek
Trying to enumerate all of the walks in a 2D lattice is a fun combinatorial problem and there are numerous applications, from polymers to sports. Computers provide a wonderful tool…
math.CO2017
Counting Permutations that Avoid Many Patterns
Yonah Biers-Ariel, Haripriya Chakraborty, John Chiarelli +8
This paper presents a collection of experimental results regarding permutation pattern avoidance, focusing on cases where there are "many" patterns to be avoided.