Recall that a (hyper)graph is d-degenerate if every of its nonempty subgraphs has a vertex of degree at most d. Every d-degenerate (hyper)graph is (easily) (d + 1)colorable. A (hyper)graph is almost d-degenerate if it is not d-degenerate, but every its proper subgraph is d-degenerate. In particular, if G is almost (k − 1)-degenerate, then after deleting any edge it is k-colorable. For k ≥ 2, we...

BACKGROUND Oxygen supply as a lifesaving intervention is frequently used to treat preterm infants suffering additionally from possible prenatal or perinatal pathogen features. The impact of oxygen and/or physical lung injury may influence the morphological lung development, leading to a chronic postnatal lung disease called bronchopulmonary dysplasia (BPD). At present different experimental BPD...

This paper presents some methods of representing canonical commutation relations in terms of hyper nite-dimensional matrices, which are constructed by nonstandard analysis. The rst method uses representations of a nonstandard extension of nite Heisenberg group, called hyper nite Heisenberg group. The second is based on hyper nite-dimensional representations of so(3). Then, the cases of in nite ...

Airway hyper-reactivity is a characteristic feature of many inflammatory lung diseases and is defined as an exaggerated degree of airway narrowing. Chemokines and their receptors are involved in several pathological processes that are believed to contribute to airway hyper-responsiveness, including recruitment and activation of inflammatory cells, collagen deposition and airway wall remodeling....

Mitchell, Paul D. (West Virginia University Medical Center, Morgantown), and John M. Slack. Hyper-reactivity of rabbits sensitized with Bartonella bacilliformis. J. Bacteriol. 92:769-779. 1966.-Sensitization with viable cells of Bartonella bacilliformis increased the susceptibility of rabbits to the lethality of subsequently administered Bartonella metabolites. In animals sensitized with 3 week...

BACKGROUND To discern whether hypertriglyceridemia (hyper-TG, TG > 95th percentile) and hypoalphalipoporteinemia (hypoalpha, high-density lipoprotein [HDL-C] < or = 10th percentile) are jointly transmitted in families, we studied 385 probands with marked elevations in TG or cholesterol levels (TG or cholesterol > 99th percentile in a previous visit) and their 2072-first-degree relatives in the ...

The hyper-Kirchhoff index is introduced when the hyper-Wiener operator is applied to the resistance-distance matrix of a connected graph. We give lower and upper bounds for the hyper-Kirchhoff index, and determine the n-vertex unicyclic graphs with the smallest, the second and the third smallest as well as the largest, the second and the third largest hyper-Kirchhoff indices for n ≥ 5. We also ...