27 citations · 30 across the 3 of their papers we have counts for
3 papers
math.HO2008★ 1 cited
A Novel Proof of the Heine-Borel Theorem
Matthew Macauley, Brian Rabern, Landon Rabern
Every beginning real analysis student learns the classic Heine-Borel theorem, that the interval [0,1] is compact. In this article, we present a proof of this result that doesn't in…
math.CO2007★ 27 cited
On Enumeration of Conjugacy Classes of Coxeter Elements
Matthew Macauley, Henning S. Mortveit
In this paper we study the equivalence relation on the set of acyclic orientations of a graph Y that arises through source-to-sink conversions. This source-to-sink conversion encod…
math.CO2007★ 2 cited
Equivalences on Acyclic Orientations
Matthew Macauley, Henning S. Mortveit
The cyclic and dihedral groups can be made to act on the set Acyc(Y) of acyclic orientations of an undirected graph Y, and this gives rise to the equivalence relations ~kappa and ~…