Published in Social Networks, 2024
We evaluated five sensor selection strategies on their ability to provide an early warning of a COVID-like outbreak in synthetic contact networks encapsulated in four network scenarios. Our findings suggest that the choice of the optimal strategy depends heavily on the community structure of the network.
Published in Journal of Applied and Computational Topology, 2024
We study a new partial order on the space of barcodes closely related to the permutahedron. The resulting poset has connections to continuous metrics on barcodes such as the bottleneck and Wasserstein distances.
Published in The American Mathematical Monthly, 2023
We study the intersections of time dependent events using an original random interval graph model.
Published in Journal of Integer Sequences, 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.
Published in 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems, 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.