1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2007★ 1 cited
The inverse inertia problem for graphs
Wayne Barrett, H. Tracy Hall, Raphael Loewy
Let G be an undirected graph on n vertices and let S(G) be the set of all real symmetric n x n matrices whose nonzero off-diagonal entries occur in exactly the positions correspond…
math.CO2007
The Graphs for which the Maximum Multiplicity of an Eigenvalue is Two
Charles R. Johnson, Raphael Loewy, Paul Anthony Smith
Characterized are all simple undirected graphs such that any real symmetric matrix that has graph has no eigenvalues of multiplicity more than 2. All such graphs are partia…
math.CO2006
The minimum rank problem over the finite field of order 2: minimum rank 3
Wayne Barrett, Jason Grout, Raphael Loewy
Our main result is a sharp bound for the number of vertices in a minimal forbidden subgraph for the graphs having minimum rank at most 3 over the finite field of order 2. We also l…