50 citations · 57 across the 10 of their papers we have counts for
5 papers · 1 filter
Mediated Digraphs and Quantum Nonlocality
Gregory Gutin, Nick S. Jones, Arash Rafiey +2
A digraph D=(V,A) is mediated if, for each pair x,y of distinct vertices of D, either xy belongs to A or yx belongs to A or there is a vertex z such that both xz,yz belong to A. Fo…
Hamilton Cycles in Digraphs of Unitary Matrices
Gregory Gutin, Arash Rafiey, Simone Severini +1
A set is called an {\em -set} ({\em -set}, respectively) if has at least two vertices and, for every , there exists such that…
Quadrangularity in Tournaments
J. Richard Lundgren, Simone Severini, Dustin J. Stewart
The pattern of a matrix M is a (0,1)-matrix which replaces all non-zero entries of M with a 1. There are several contexts in which studying the patterns of orthogonal matrices can…
On the structure of the adjacency matrix of the line digraph of a regular digraph
Simone Severini
We show that the adjacency matrix M of the line digraph of a d-regular digraph D on n vertices can be written as M=AB, where the matrix A is the Kronecker product of the all-ones m…
On the Cayley digraphs that are patterns of unitary matrices
Simone Severini
A digraph D is the pattern of a matrix M when D has an arc ij if and only if the ij-th entry of M is nonzero. Study the relationship between unitary matrices and their patterns is…