72 citations · 105 across the 22 of their papers we have counts for
31 papers
Domino tilings beyond 2D
Caroline J. Klivans, Nicolau C. Saldanha
There is a rich history of domino tilings in two dimensions. Through a variety of techniques we can answer questions such as: how many tilings are there of a given region or what d…
The Arboricity Polynomial
Felix Breuer, Caroline J Klivans
We introduce a new matroid (graph) invariant, the arboricity polynomial. Given a matroid, the arboricity polynomial enumerates the number of covers of the ground set by disjoint in…
A Three-Regime Theorem for Flow-Firing
Sarah Brauner, Galen Dorpalen-Barry, Selvi Kara +2
Graphical chip-firing is a discrete dynamical system where chips are placed on the vertices of a graph and exchanged via simple firing moves. Recent work has sought to generalize c…
Eigenvalues and Critical Groups of Adinkras
Kevin Iga, Caroline Klivans, Jordan Kostiuk +1
Adinkras are signed graphs used to study supersymmetry in physics. We provide an introduction to these objects, and study the properties of their signed adjacency and signed Laplac…
Supersymmetry and Representation Theory in Low Dimensions
Mathew Calkins, S. James Gates, Caroline Klivans
Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of mathematics and theory by the concept o…
Clustering with Semidefinite Programming and Fixed Point Iteration
Pedro Felzenszwalb, Caroline Klivans, Alice Paul
We introduce a novel method for clustering using a semidefinite programming (SDP) relaxation of the Max k-Cut problem. The approach is based on a new methodology for rounding the s…