Among the polyominoes that tile the plane by translation, the so-called squares have been conjectured to tile the plane in at most two distinct ways (these are called double square...
We present a new graph composition that produces a graph G from a given graph H and a fixed graph B called gear and we study its polyhedral properties. This composition yields cou...
The problem of computing periods in words, or finite sequences of symbols from a finite alphabet, has important applications in several areas including data compression, string se...
Mosaics are orbits of partitions arising from music theoretical investigations. Various theorems from the field of "enumeration under finite group actions" are applied f...
Given two sets of points in the plane, we are interested in locating a highway h such that an objective function on the city distance between points of the two sets is minimized (w...