# Publications

## “Primes and Perfect Powers in the Catalan Triangle

Published in Journal of Integer Sequences with N. Benjamin, G. Fickes, E. Fiorini, E. Jovinelly, and T.W.H. Wong, 2019

The Catalan triangle is an infinite lower-triangular matrix that generalizes the Catalan numbers. The entries of the Catalan triangle, denoted by $c_{n,k}$, count the number of shortest lattice paths from $(0, 0)$ to $(n, k)$ that do not go above the main diagonal. This paper studies the occurrence of primes and perfect powers in the Catalan triangle.

## “SEAR: A Polynomial- Time MultiRobot Path Planning Algorithm with Expected Constant-Factor Optimality Guarantee

Published in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (Conference Paper) with S. Han and J. Yu., 2018

We study the labeled multi-robot path planning problem in continuous 2D and 3D domains in the absence of obstacles where robots must not collide with each other.