A maximum stable set in a graph G is a stable set of maximum cardinality. S is a local maximum stable set if it is a maximum stable set of the subgraph of G spanned by S ∪N(S), where N(S) is the neighborhood of S. One theorem of Nemhauser and Trotter Jr. [10], working as a useful sufficient local optimality condition for the weighted maximum stable set problem, ensures that any local maximum st...

This paper considers the problem of generating various calligraphy from some sample fonts. Our method is based on the deformable contour model g-snake. By representing the outline of each stroke of a character with a g-snake, we cast the generation problem into global and local deformation of g-snake under different control parameters, where the local deformation obeys the energy minimization p...

Nonlocal cosmological models with quadratic potentials are considered. We study the action with an arbitrary analytic function F( g), which has both double and simple roots. The formulae for non-local energy-momentum tensor, which correspond to double roots have been obtained. The way to find particular solutions of non-local Einstein equations in the case when F( g) has both simple and double ...

In this assay, edible cattle tissues from local markets of Ardabil, a Province of Iran, were examined for residues of tetracycline antibiotics (tetracycline, oxytetracycline and chlortetracycline). In total, 110 samples of triceps, gluteal muscle, diaphragm, kidney and liver were randomly obtained from the local markets of the city of Ardabil. Solid-phase extraction (SPE) and high-performance l...

We investigated self-consistent spin-resolved local-field corrections in a spin-polarized electron gas. The local-field corrections, structure factors, and susceptibility functions form a self-consistent loop. Three different local-field corrections and structure factors each based on the Hartree-Fock structure factor, the Gori-Giorgi–Perdew pair correlation function, and self-consistent calcul...

over a field F of characteristic 0. The methods of [A3] are by comparison with representations of the group GL(N). This eventually leads to results on the representations of the full orthogonal group O(N). But it is the connected subgroup G = SO(N) of O(N) that is the ultimate object of interest. In [A3, §8.4], we were able to characterize certain representations of G from the results obtained ...

20 Running title: Genomic basis of G×E and local adaptation. CC-BY-NC-ND 4.0 International license peer-reviewed) is the author/funder. It is made available under a The copyright holder for this preprint (which was not. Abstract A substantial portion of intraspecific diversity is associated with local adaptation to environment, which is driven by genotype-by-environment interactions (G×E) for f...

Given a directed graph G = (V,E) and an integer k ≥ 1, a ktransitive-closure-spanner (k-TC-spanner) of G is a directed graph H = (V,EH) that has (1) the same transitive-closure as G and (2) diameter at most k. Transitive-closure spanners are a common abstraction for applications in access control, property testing and data structures. We show a connection between 2-TC-spanners and local monoton...

AIM The study was conducted to detection and determination of concentration or level of antibiotic residues in milk and egg of local and commercial farms at Chittagong during December 2011 to June 2012. MATERIALS AND METHODS A total of 400 (200 milk and 200 egg) samples were collected from local and commercial dairy cows and local scavenging and commercial poultry farms, respectively. Microbi...

In [7], [1], [2], local decay estimates were proven for the (decoupled) Schrödinger, wave, and Regge-Wheeler equations on the Schwarzschild manifold, using commutator methods. Here, we correct a step in the commutator argument. The corrected argument works either for radial semilinear equations or general linear equations. This recovers the results in [7] and [2], but does not recover the non r...