73 citations · 119 across the 32 of their papers we have counts for
35 papers
Benford's Law in the ring
Christine Patterson, Marion Scheepers
For a natural number that is not a perfect square and for a non-zero integer, consider the subset of the quadratic integer ring $\mathbb{Z}(\sqrt{D…
A Selection Principle and Products in Topological Groups
Marion Scheepers
We consider the preservation under products, finite powers, and forcing, of a selection principle based covering property of topological groups. Though the paper is in part a…
Classifying Permutations under Context-Directed Swaps and the \textbf{cds} game
G. Brown, A. Mitchell, R. Raghavan +2
A special sorting operation called Context Directed Swap, and denoted \textbf{cds}, performs certain types of block interchanges on permutations. When a permutation is sortable by…
Ramsey Theory and the Borel Conjecture
Marion Scheepers
The Borel covering property, introduced a century ago by E. Borel, is intimately connected with Ramsey theory, initiated ninety years ago in an influential paper of F.P. Ramsey. Th…
The Sortability of Graphs and Matrices under Context Directed Swaps
C. A. Brown, C. S. Carrillo Vazquez, R. Goswami +2
The study of sorting permutations by block interchanges has recently been stimulated by a phenomenon observed in the genome maintenance of certain ciliate species. The result was t…
Quantifying CDS Sortability of Permutations by Strategic Pile Size
Marisa Gaetz, Bethany Flanagan, Marion Scheepers +1
The special purpose sorting operation, context directed swap (CDS), is an example of the block interchange sorting operation studied in prior work on permutation sorting. CDS has b…