The Binet-Pexider functional equation for rectangular matrices.
The Cauchy double alternant and divided differences.
The Cayley–Menger determinant is irreducible for .
The compression semigroup of a cone is connected.
The determinant concept defined by means of graph theory
The distance matrix of a bidirected tree.
The Dittert's function on a set of nonnegative matrices.
The eigenvalue distribution of block diagonally dominant matrices and block H-matrices.
The external vertices conjecture in case .
The Laplacian permanental polynomial for trees
The Largest Subdeterminant of a Matrix
The permanent of the Laplacian matrix of a bipartite graph
The quaternionic determinant.
The Redheffer matrix of a partially ordered set.
The resultant of non-commutative polynomials
The scattering matrix of a graph.
The structure of the tame kernels of quadratic number fields (II)
The weak Hawkins-Simon condition.
Tilings associated with non-Pisot matrices
Suppose has a 2-dimensional expanding subspace , satisfies a regularity condition, called “good star”, and has , where is an oriented compound of . A morphism of the free group on is called a non-abelianization of if it has structure matrix . We show that there is a tiling substitution whose “boundary substitution” is a non-abelianization of . Such a tiling substitution leads to a self-affine tiling of with as its expansion. In the last section we find conditions on so...
Totally positive completions for monotonically labeled block clique graphs.