Matrices uniquely determined by their lonesums

On uniquely k-determined permutations

Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria for a permutation to be uniquely k-determined: one in terms of the distance between two consecutive elements in a permutation, and the other one in terms of directed hamiltonian paths in the certain graphs called path-...

ON NEW CLASSES OF MULTICONE GRAPHS DETERMINED BY THEIR SPECTRUMS

A multicone graph is defined to be join of a clique and a regular graph. A graph $ G $ is cospectral with graph $ H $ if their adjacency matrices have the same eigenvalues. A graph $ G $ is said to be determined by its spectrum or DS for short, if for any graph $ H $ with $ Spec(G)=Spec(H)$, we conclude that $ G $ is isomorphic to $ H $. In this paper, we present new classes of multicone graphs...

Sets uniquely determined by projections on axes II Discrete case

Fishburn, P. A subset S of N " = { 1,2,. , N} " is a discrete set of uniqueness if it is the only subset of N " with projections P,, Sets of uniqueness and additive sets are characterized by the absence of certain configurations in the lattice N ". The characterization shows that every additive set is a set of uniqueness. If n = 2, every set of uniqueness is also additive. However, when II 3 3,...

Generalized metrics and uniquely determined logic programs

Can optimized effective potentials be determined uniquely?

Local ~multiplicative! effective exchange potentials obtained from the linear-combinationof-atomic-orbital ~LCAO! optimized effective potential ~OEP! method are frequently unrealistic in that they tend to exhibit wrong asymptotic behavior ~although formally they should have the correct asymptotic behavior! and also assume unphysical rapid oscillations around the nuclei. We give an algebraic pro...