A path is said to be `-bounded if it contains at most ` edges. We consider two types of `-bounded disjoint paths problems. In the maximum edgeor node-disjoint path problems MEDP(`) and MNDP(`), the task is to find the maximum number of edgeor node-disjoint `-bounded (s, t)-paths in a given graph G with source s and sink t, respectively. In the weighted edgeor node-disjoint path problems WEDP(`)...

In his last two papers Georges Voronoi introduced two tilings for the cone of metrical forms for lattices, the tiling by perfect domains and the tiling by lattice type domains. Both are facet-to-facet tilings by polyhedral subcones, and invariant with respect to the natural action of GL(n, Z) on Sym(n, R). In working out the details of his theory of lattice types, his most important legacy for ...

there are a limited number of food and drug administration ( fda)-approved medications for the treatment of autism. meanwhile, oxidative stress and neuroinflammation are supposed to play a causative role in autism. n-acetylcysteine may provide cystine, a precursor for glutathione (gsh), which is an important antioxidant factor in the brain. we here report a child with autism, whose symptoms wer...

In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4 supergravity. We find some differences with the general bosonic construction of 4dimensional gauged supergravities. The global symmetry group of N = 1, d = 4 supergravity consists of three factors: the scalar manifold isometry group, the invariance group of the complex vector kinetic matrix and the U(1) R-symmetry group....

The purpose of this study was to examine the efficacy of the Youth-Nominated Support Team – Version II (YST-II) for suicidal adolescents, an intervention based on social support and health behavior models, which was designed to supplement standard treatments. Psychiatrically hospitalized and suicidal adolescents, ages 13 to 17 years, were randomly assigned to treatmentas-usual (TAU) plus YST-II...

The rate of movement for 3and 10-cm-high granule ripples was documented in September of 2006 at Great Sand Dunes National Park and Preserve during a particularly strong wind event. Impact creep induced by saltating sand caused 24 granules min 1 to cross each cm of crest length during wind that averaged 9 m s 1 (at a height well above 1 m), which is substantially larger than the threshold for sa...