4 papers · 1 filter
Floridian Solitaire: A New Variant of Bulgarian Solitaire
Aaron Meyerowitz, Stephen J. Curran, Stephen C. Locke +1
Bulgarian solitaire is a well-studied, no-choice, no-loss, one-player game involving stacks of cards. More formally, it is a self-map on the set of partitions of a fixed integer $n…
Two-pile and three-pile games of a new variant of Nim known as Halve Nim
Stephen C. Locke, Stephen J. Curran, Richard M. Low
We investigate a variant of Nim called Halve Nim, which in addition to the standard moves of Nim, we allow replacing each pile of coins with half its amount. We determine the P-pos…
Equatorially balanced C4-face-magic labelings on Klein bottle grid graphs
Stephen J. Curran, Richard M. Low, Stephen C. Locke
For a graph embedded in the Klein bottle, let denote the set of faces of . Then, is called a -face-magic Klein bottle graph if there exist…
On non-Hamiltonian circulant digraphs of outdegree three
Stephen C. Locke, Dave Witte Morris
We construct infinitely many connected, circulant digraphs of outdegree three that have no hamiltonian circuit. All of our examples have an even number of vertices, and our example…