Lon H. Mitchell

On the Minimum Rank Among Positive Semidefinite Matrices with a Given Graph

Let

On the minimum semidefinite rank of a simple graph

\mathcal{P}(G)

Minimum semidefinite rank of outerplanar graphs and the tree cover number

be the set of all positive semidefinite matrices whose graph is

Colin de Verdiere parameters of chordal graphs

G

Operators on the ∞-spaces of Bourgain and Delbaen

, and

ON THE MINIMUM VECTOR RANK OF MULTIGRAPHS

\operatorname{msr}(G)

Linearly independent vertices and minimum semidefinite rank

be the minimum rank of all matrices in

Lower Bounds in Minimum Rank Problems

\mathcal{P}(G)

Unitary matrix digraphs and minimum semidefinite rank

. Upper and lower bounds for

Orthogonal Vector Coloring

\operatorname{msr}(G)