The relation between Maxwell, Dirac, and the Seiberg-Witten equations.
The relational translators of the hyperspherical functional matrix.
The Re-nonnegative definite solutions to the matrix equation
An complex matrix is called Re-nonnegative definite (Re-nnd) if the real part of is nonnegative for every complex -vector . In this paper criteria for a partitioned matrix to be Re-nnd are given. A necessary and sufficient condition for the existence of and an expression for the Re-nnd solutions of the matrix equation are presented.
The resultant of non-commutative polynomials
The ring of invariants of three -matrices over a field of prime characteristic.
The ring of upper triangular invariants as a module over the Dickson invariants.
The Robson cubics for matrix algebras with involution.
The scattering matrix of a graph.
The Sherman-Morrison formula and eigenvalues of a special bordered matrix.
The signless Laplacian separator of graphs.
The signless Laplacian spectral radius of graphs with given number of cut vertices
In this paper, we determine the graph with maximal signless Laplacian spectral radius among all connected graphs with fixed order and given number of cut vertices.
The Similarity Reduction of Matrices over a Skew Field.
The Singular Values of Involutory and of Idempotent Matrices.
The singularity/nonsingularity problem for matrices satisfying diagonal dominance conditions formulated in terms of directed graphs.
The Smith normal form of product distance matrices
Let G = (V, E) be a connected graph with 2-connected blocks H1, H2, . . . , Hr. Motivated by the exponential distance matrix, Bapat and Sivasubramanian in [4] defined its product distance matrix DG and showed that det DG only depends on det DHi for 1 ≤ i ≤ r and not on the manner in which its blocks are connected. In this work, when distances are symmetric, we generalize this result to the Smith Normal Form of DG and give an explicit formula for the invariant factors of DG.
The spectral gap of random graphs with given expected degrees.
The spectral radii of an operator and its modulus
The spectral radius and the maximum degree of irregular graphs.
The spectral radius of the Coxeter transformations for a generalized Cartan matrix.
The Steinitz constant of the plane.