Let G = (V,E) be a simple graph of maximum degree ∆. The edges of G can be colored with at most ∆ + 1 colors by Vizing’s theorem. We study lower bounds on the size of subgraphs of G that can be colored with ∆ colors. Vizing’s Theorem gives a bound of ∆ ∆+1 |E|. This is known to be tight for cliques K∆+1 when ∆ is even. However, for ∆ = 3 it was improved to 26 31 |E| by Albertson and Haas [Parsi...

The principal difference between the small punch (SP) testing technique and standardized impact testing lies in the fact that the SP tests carried out in accordance with CWA 15627 Small Punch Test Method for Metallic Materials use disc-shaped test specimens without a notch. Especially in tough materials, the temperature dependence of SP fracture energy ESP in the transition area is very steep a...

Introduction: Cervical total disc replacement (TDR) procedures are an option for treatment of cervical spinal disc degeneration. The goal of TDR replacement is to replace the painful and degenerated TDR with a new bearing unit to enable pain free motion. A young and active patient population demands a proven durable replacement bearing surface to accomplish this goal. The wear of that surface m...

Visual field test and optic disc evaluation are the standard examination techniques used to detect the onset and progression of glaucoma. This explorative study was performed to assess the temporal correlation between visual field and optic disc changes in eyes with ocular hypertension and well-established glaucoma. Eighty-six hypertensive and 16 glaucomatous eyes were followed up for a period ...

In this paper, a high-precision eigenmode-computation analysis of arbitrary azimuthal mode numbers in periodic disc-loaded structure based on variational method will be discussed. It allows for rounding the edge of a disk hole without any approximation in shape treatment and calculates the modes exactly synchronous to the beam. It converges much faster than the mesh-based computer code. Good ag...

We present theoretical models for the evolution of T Tauri stars surrounded by cir-cumstellar discs. The models include the effects of pre-main-sequence stellar and time dependent disc evolution, and incorporate the effects of stellar magnetic fields acting on the inner disc. For single stars, consistency with observations in Taurus-Auriga demands that disc dispersal occurs rapidly, on much les...

In the Gaia era, understanding effects of perturbations Galactic disc is major importance in context dynamical modelling. this theoretical paper we extend previous work which, making use epicyclic approximation, linearized Boltzmann equation had been used to explicitly compute, away from resonances, perturbed distribution function a thin-disc population presence non-axisymmetric perturbation co...

The heterogeneous expression of methicillin resistance in Staphylococcus aureus affects the efficiency of tests available to detect it. Not all laboratories have access to accurate molecular tests used for this purpose. This study compares the performances of four phenotypic tests used to detect methicillin resistant S. aureus (MRSA) with the mecA gene polymerase chain reaction. Two hundred thi...