Let G be an r-uniform hypergraph. The multicolor Ramsey number rk(G) is the minimum n such that every k-coloring of the edges of the complete r-uniform hypergraph K n yields a monochromatic copy of G. Improving slightly upon results from [1], we prove that tk + 1 ≤ rk(K2,t+1) ≤ tk + k + 2, where the lower bound holds when t and k are both powers of a prime p. When t = 1, we improve the lower bo...

Let v(G) and γ(G) denote the number of vertices and the domination number of a graph G, respectively, and let ρ(G) = γ(G)/v(G). In 1996 B. Reed conjectured that if G is a cubic graph, then γ(G) ≤ dv(G)/3e. In 2005 A. Kostochka and B. Stodolsky disproved this conjecture for cubic graphs of connectivity one and maintained that the conjecture may still be true for cubic 2-connected graphs. Their m...

Care of cancer patients may be a source of considerable stress. As part of a large scale longitudinal study of the interaction of biological, psychological and environmental factors in determining patient outcome, the mental and physical health status of 37 members of the nursing staff of a cancer hospital was examined. The study identifies risk factors for stress, professional ‘burn-out’ and p...

The paper highlights the issues of ionizing radiation occurrence at electrophysical installations, their properties, substantiates, need to equip KTM Tokamak installation with a stationary, automated field monitoring system, offers set engineering solutions based on results analysis irradiation data and general safety requirements. It is shown that proposed will allow recording process paramete...

The study assessed CNC routing quality on maple and oak samples, using 90º V-Grooving router bits at various milling angles as function of grain orientation: 0°, 15°, 30°, 45°, 60°, 75°, 90°, feed speeds 3 6 m/min spindle speed 15,000 rpm. was evaluated by roughness parameters for the V flank surfaces visual examination flanks’ edges. change in had no significant effect flanks surface both spec...

We propose a new Eulerian-Lagrangian Runge-Kutta finite volume method for numerically solving convection and convection-diffusion equations. semi-Lagrangian methods have grown in popularity mostly due to their ability allow large time steps. Our proposed scheme is formulated by integrating the PDE on space-time region partitioned approximations of characteristics determined from Rankine-Hugonio...