6 citations · 23 across the 28 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.CO2014
The mathematics of the flip and horseshoe shuffles
Steve Butler, Persi Diaconis, Ron Graham
We consider new types of perfect shuffles wherein a deck is split in half, one half of the deck is "reversed", and then the cards are interlaced. Flip shuffles are when the reversa…
math.CO2014
Using twins and scaling to construct cospectral graphs for the normalized Laplacian
Steve Butler
The spectrum of the normalized Laplacian matrix cannot determine the number of edges in a graph, however finding constructions of cospectral graphs with differing number of edges h…
math.CO2014★ 2 cited
Rainbow arithmetic progressions
Steve Butler, Craig Erickson, Leslie Hogben +8
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of arithmetic progressions. For positive integers and , the expression $aw([n…