8 citations · 9 across the 10 of their papers we have counts for
4 papers · 1 filter
On odd covers of cliques and disjoint unions
Calum Buchanan, Alexander Clifton, Eric Culver +5
Babai and Frankl posed the ``odd cover problem" of finding the minimum cardinality of a collection of complete bipartite graphs such that every edge of the complete graph of order…
Trail Trap: a variant of Partizan Edge Geography
Calum Buchanan, MacKenzie Carr, Alexander Clifton +4
We study a two-player game played on undirected graphs called {\sc Trail Trap}, which is a variant of a game known as {\sc Partizan Edge Geography}. One player starts by choosing a…
Tropical Geometry of Rado Matroids
Calum Buchanan, Richard Danner
In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. We prove that the stab…
A lower bound on the saturation number and a strengthening for triangle-free graphs
Calum Buchanan, Puck Rombach
The saturation number of a graph and positive integer is the minimum size of a graph of order which does not contain a subgraph isomorphic to…