6 citations · 8 across the 9 of their papers we have counts for
9 papers
Random Quotients of Free Products
Eduard Einstein, Suraj Krishna M S, MurphyKate Montee +2
We introduce a density model for random quotients of a free product of finitely generated groups. We prove that a random quotient in this model has the following properties with ov…
Determinants of Seidel Tournament Matrices
Sarah Klanderman, MurphyKate Montee, Andrzej Piotrowski +2
The Seidel matrix of a tournament on players is an skew-symmetric matrix with entries in that encapsulates the outcomes of the games in the given tou…
Centers of Artin groups defined on cones
Kasia Jankiewicz, MurphyKate Montee
We prove that the Center Conjecture passes to the Artin groups whose defining graphs are cones, if the conjecture holds for the Artin group defined on the set of the cone points. I…
Finding Fibonacci in the Hyperbolic Plane
MurphyKate Montee
We use a combinatorial approximation of the hyperbolic plane to investigate properties of hyperbolic geometry such as exponential growth of perimeter and area of disks, and the lin…
Random groups at density act non-trivially on a CAT(0) cube complex
MurphyKate Montee
For random groups in the Gromov density model at , we construct walls in the Cayley complex which give rise to a non-trivial action by isometries on a CAT(0) cube compl…
Graphs with Many Hamiltonian Paths
Erik Carlson, Willem Fletcher, MurphyKate Montee +3
A graph is \emph{hamiltonian-connected} if every pair of vertices can be connected by a hamiltonian path, and it is \emph{hamiltonian} if it contains a hamiltonian cycle. We constr…