4 papers
Riffles, ruffles, and the turning algebra
Peter G. Doyle, Dan Rockmore
The rising algebra is a subalgebra of the group algebra of the symmetric group S_n, gotten by lumping together permutations having the same number of rising sequences. This well-kn…
Electric currents in infinite networks
Peter G. Doyle
In this survey, we present the basic facts about conduction in infinite networks. This survey is based on the work of Flanders, Zemanian, and Thomassen, who developed the theory of…
The number of Latin rectangles
Peter G. Doyle
We show how to generate an expression for the number of k-line Latin rectangles for any k. The computational complexity of the resulting expression, as measured by the number of ad…
A 27-vertex graph that is vertex-transitive and edge-transitive but not l-transitive
Peter G. Doyle
I describe a 27-vertex graph that is vertex-transitive and edge-transitive but not 1-transitive. Thus while all vertices and edges of this graph are similar, there are no edge-reve…