A cycle in a matroid is a disjoint union of circuits. This paper proves that every regular matroid M without coloops has a set S of cycles whose union is E(M) such that every elem...
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
A decomposition of a polygon P is a set of polygons whose geometric union is exactly P. We consider the problem of decomposing a polygon, which may contain holes, using subpolygon...
We show that the Parikh image of the language of an NFA with n states over an alphabet of size k can be described as a finite union of linear sets with at most k generators and to...