15 citations · 18 across the 4 of their papers we have counts for
4 papers
Minimal complete Shidoku symmetry groups
Elizabeth Arnold, Rebecca Field, Stephen Lucas +1
Calculations of the number of equivalence classes of Sudoku boards has to this point been done only with the aid of a computer, in part because of the unnecessarily large symmetry…
Nest graphs and minimal complete symmetry groups for magic Sudoku variants
Elizabeth Arnold, Rebecca Field, John Lorch +2
A symmetry group for Sudoku is complete if its action partitions the set of Sudoku boards into all possible orbits, and minimal if no group of smaller size would do the same. Previ…
Clustering of spectra and fractals of regular graphs
V. Ejov, J. A. Filar, S. K. Lucas +1
We exhibit a characteristic structure of the class of all regular graphs of degree d that stems from the spectra of their adjacency matrices. The structure has a fractal threadlike…
Capillary Wave Scattering from a Surfactant Domain
T. Chou, S. K. Lucas, H. A. Stone
The study of capillary wave scattering by a circular region with different interfacial properties from the rest of an otherwise homogeneous interface is motivated by experiments on…