The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parki...
We disprove a conjecture of Bultena and Ruskey [1], that all trees which are cyclic graphs of cyclic Gray codes have diameter 2 or 4, by producing codes whose cyclic graphs are tre...
We answer a question posed by Lampert and Slater [7]. Consider a sequence of real numbers qn in the interval [0, 1] defined by q0 = 0, q1 = 1, and, for n 1, qn+1 equals an averag...
Neil J. Calkin, E. Rodney Canfield, Herbert S. Wil...
This paper puts forward a new notion of a proof based on computational complexity and explores its implications for computation at large. Computationally sound proofs provide, in a...
Abstract. We analyze results on well-partial-orderings from the viewpoint of computability theory, and we answer a question posed by Diana Schmidt. We obtain the following results....