8 citations · 9 across the 4 of their papers we have counts for
6 papers
A Network-of-Networks Model for Electrical Infrastructure Networks
Mahantesh Halappanavar, Eduardo Cotilla-Sanchez, Emilie Hogan +4
Modeling power transmission networks is an important area of research with applications such as vulnerability analysis, study of cascading failures, and location of measurement dev…
Conjugacy and Iteration of Standard Interval Rank in Finite Ordered Sets
Cliff Joslyn, Emilie Hogan, Alex Pogel
In order theory, a rank function measures the vertical "level" of a poset element. It is an integer-valued function on a poset which increments with the covering relation, and is o…
Towards a Networks-of-Networks Framework for Cyber Security
Mahantesh Halappanavar, Sutanay Choudhury, Emilie Hogan +4
Networks-of-networks (NoN) is a graph-theoretic model of interdependent networks that have distinct dynamics at each network (layer). By adding special edges to represent relations…
A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations
Emilie Hogan, Doron Zeilberger
Global asymptotic stability of rational difference equations is an area of research that has been well studied. In contrast to the many current methods for proving global asymptoti…
Non-linear Recurrences that Quite Unexpectedly Generate Rational Numbers
Emilie Hogan
Non-linear recurrences which generate integers in a surprising way have been studied by many people. Typically people study recurrences that are linear in the highest order term. I…
A New Family of Somos-like Recurrences
Paul Heideman, Emilie Hogan
We exhibit a three parameter infinite family of quadratic recurrence relations inspired by the well known Somos sequences. For one infinite subfamily we prove that the recurrence g…