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

collaborators

Showing 2024Show all

3 papers · 1 filter

math.CO2024

Determinants of Seidel Tournament Matrices

Sarah Klanderman, MurphyKate Montee, Andrzej Piotrowski +2

The Seidel matrix of a tournament on $n$ players is an $n \times n$ skew-symmetric matrix with entries in ${0, 1, - 1}$ that encapsulates the outcomes of the games in the given tou…

math.GR2024

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…

math.GT2024

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…