vol17_pp487-492. 104KB Jun 04 2011 12:06:01 AM
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Thus, by Dirichlet’s Theorem on primes in arithmetic progressions, it follows that there exist infinitely many prime numbers p such that p ≡ a (mod M ). It is clear that these
The weak interlacing theorem enables us to bound the average number of leaves in a dense expander graph.. In this paper we proved a weak interlacing theorem for the
A classic inequality for singular values of a matrixsum, including its equality case, is used to study how the energy of a graph changes when edges are removed.. One sharp bound and
A semidefinite program is an optimization problem where a linear function of a matrix variable is to be minimized subject to linear constraints and an additional semidefi-
This formula is used to give a graph-theoretic description of the group inverse of an irreducible tridiagonal matrix of odd order with zero diagonal (which is singular)..
Structuredmatrices, Matrix identity, Schur coefficients, Christoffel-Darboux for- mula, Transfer matrix function, Discrete skew-self-adjoint Dirac system, Weyl function, Inverse
The eigenvalues of the L ( G ), especially the largest and the second smallest eigenvalues, are important in graph theory, because they have relations to numerous graph
Similarly to the case of interactions between singular tuples, there are several types of reduced matrix equations that may result, depending on the relative place- ment of
