MurphyKate Montee

activity

20122025

most citedKnot projections with a single multi-crossing

6 citations · 8 across the 9 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.GR2021

Random groups at density $d < 3/14$ act non-trivially on a CAT(0) cube complex

MurphyKate Montee

For random groups in the Gromov density model at $d < 3/14$ , we construct walls in the Cayley complex $X$ which give rise to a non-trivial action by isometries on a CAT(0) cube compl…

math.CO2021

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…

math.GR2021★ 2 cited

Property (T) in $k$ -gonal random groups

MurphyKate Montee

The $k$ -gonal models of random groups are defined as the quotients of free groups on $n$ generators by cyclically reduced words of length $k$ . As $k$ tends to infinity, this model…

Random groups at density d<3/14 act non-trivially on a CAT(0) cube complex

Graphs with Many Hamiltonian Paths

Property (T) in k-gonal random groups

Random groups at density $d < 3/14$ act non-trivially on a CAT(0) cube complex

Property (T) in $k$ -gonal random groups