11 citations · 23 across the 23 of their papers we have counts for
3 papers · 1 filter
Spherical Thrackles
Grant Cairns, Timothy J. Koussas, Yuri Nikolayevsky
We establish Conway's thrackle conjecture in the case of spherical thrackles; that is, for drawings on the unit sphere where the edges are arcs of great circles.
Piecewise linear periodic maps of the plane with integer coefficients
Grant Cairns, Yuri Nikolayevsky, Gavin Rossiter
We study periodic, piecewise linear maps on the plane starting with the Mort Brown's map. We show that if the number of pieces is two, there is only a short list of possible period…
A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences
Grant Cairns, Stacey Mendan, Yuri Nikolayevsky
We give a sharp refinement of a result of Alon, Ben-Shimon and Krivelevich. This gives a sufficient condition for a finite sequence of positive integers to be the vertex degree lis…