3 citations · 4 across the 6 of their papers we have counts for
7 papers · 1 filter
Inclusion regions and bounds for the eigenvalues of matrices with a known eigenpair
Rachid Marsli, Frank J. Hall
Let (λ, v) be a known real eigenpair of a square real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained reg…
Some properties of ergodicity coefficients with applications in spectral graph theory
Rachid Marsli, Frank J. Hall
The main result is Corollary 2.9 which provides upper bounds on, and even better, approximates the largest non-trivial eigenvalue in absolute value of real constant row-sum matrice…
Two-connected signed graphs with maximum nullity at most two
Marina Arav, Frank J. Hall, Zhongshan Li +1
A signed graph is a pair , where is a graph (in which parallel edges are permitted, but loops are not) with and . The edges in …
Minimum ranks of sign patterns via sign vectors and duality
Marina Arav, Frank J. Hall, Zhongshan Li +3
A {\it sign pattern matrix} is a matrix whose entries are from the set . The minimum rank of a sign pattern matrix is the minimum of the ranks of the real matrices…
The minimum rank of a sign pattern matrix with a 1-separation
Marina Arav, Frank J. Hall, Zhongshan Li +3
A sign pattern matrix is a matrix whose entries are from the set . If is an sign pattern matrix, the qualitative class of , denoted , is the set…
A graph minors characterization of signed graphs whose signed Colin de Verdière parameter is two
Marina Arav, Frank J. Hall, Zhongshan Li +1
A signed graph is a pair , where is a graph (in which parallel edges are permitted, but loops are not) with and . The edges in ar…