Schaefer's theorem is a complexity classification result for so-called Boolean constraint satisfaction problems: it states that every Boolean constraint satisfaction problem ...
es of circulant matrices. Our class is broader than just circulants, and we study patterned systems using abstract algebra, specifically the observation that a set of matrices with...
In this paper we attempt to further demonstrate connections between information theory and control, in a networked setting. Specifically, we consider the communication problem of b...
The Helly number of a family of sets with empty intersection is the size of its largest inclusionwise minimal sub-family with empty intersection. Let F be a finite family of open...
In this paper all cocyclic Hadamard matrices of order less than 40 are classified. That is, all such Hadamard matrices are explicitly constructed, up to Hadamard equivalence. Thi...