1 citations · 1 across the 5 of their papers we have counts for
7 papers
Sign games on graphs
Liz Blum, Lily Brustkern, Rosetta Hawkins +2
We define the Sign Game as a two-player game played on a simple undirected mathematical graph . The players alternate turns, assigning vertices of either or , and ed…
Square donuts and twistable holes
Kevin Murawski, Neil R. Nicholson, Kathleen Walsh
A mathematical donut is a rectangle of integral side length with a smaller rectangle (called the hole of the donut), also of integral side length, strictly inside it and with sides…
Cops and Robbers on Toroidal Chess Graphs
Allyson Hahn, Neil R. Nicholson
We investigate multiple variants of the game Cops and Robbers. Playing it on an toroidal chess graph, the game is varied by defining moves for cops and robbers differe…
Piecewise-linear pseudodiagrams
Molly Durava, Neil R. Nicholson, Jackson Ramsey
There are 2^n possible resolutions of a smooth pseudodiagram with n precrossings. If we consider piecewise-linear (PL) pseudodiagrams and resolutions that themselves are PL, certai…
PL-virtual knots
Neil R. Nicholson
Piecewise-linear virtual knots are discussed and classified up to edge index six.
An invariant for flat virtual knots
Neil R. Nicholson
The paper has been withdrawn by the author, due to a critical error stemming from the defined template.