Girth and subdominant eigenvalues for stochastic matrices.
Graph fibrations, graph isomorphism, and PageRank
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local isomorphism of in-neighbourhoods, much in the same way a covering projection is a local isomorphism of neighbourhoods. We show that a deep connection relates fibrations and Markov chains with restart, a particular kind of Markov chains that include the PageRank one as a special case. This fact provides constraints on the...
Graphs determined by their (signless) Laplacian spectra.
Graphs whose minimal rank is two.
Graphs whose minimal rank is two: the finite fields case.
Green's relations for stochastic matrices
Group inverse for the block matrix with two identical subblocks over skew fields.
Growth in
Hadamard product of GCD matrices.
Hadamard product versions of the Chebyshev and Kantorovich inequalities.
Hall exponents of matrices, tournaments and their line digraphs
Let be a square -matrix. Then is a Hall matrix provided it has a nonzero permanent. The Hall exponent of is the smallest positive integer , if such exists, such that is a Hall matrix. The Hall exponent has received considerable attention, and we both review and expand on some of its properties. Viewing as the adjacency matrix of a digraph, we prove several properties of the Hall exponents of line digraphs with some emphasis on line digraphs of tournament (matrices).
Hamiltonian square roots of skew Hamiltonian quaternionic matrices.
Hankel matrices and lattice paths.
Hermite and Laguerre polynomials and matrix-valued stochastic.
Hermitean Téodorescu transform decomposition of continuous matrix functions on fractal hypersurfaces.
Hidden relations for the Smith invariants of a matrix sum
H-normal matrices
Homogenous distributions on spaces of Hermitean matrices.
How tight is Hadamard's bound?
How to establish universal block-matrix factorizations.