Let G(n, r, s) denote a uniformly random r-regular s-uniform hypergraph onn vertices, where s is a fixed constant and r = r(n) may grow with n. An `-overlapping Hamilton cycle is a Hamilton cycle in which successive edges overlapin precisely ` vertices, and 1-overlapping Hamilton cycles are called loose Hamiltoncycles.When r, s ≥ 3 are fixed integers, we establish a thre...

A cycle in a graph G is called a hamilton cycle if it contains every vertex of G. A l-factor of a graph G is a subgraph H of G with the same vertex set as G, such that each vertex of H has degree one. Ringel [S] has generalized the idea of a hamilton cycle to two dimensions. He showed that if n is odd the set of squares in the n-dimensional cube Q,, can be partitioned into subsets such that eac...

We show that every sufficiently large r-regular digraph G which has linear degree and is a robust outexpander has an approximate decomposition into edge-disjoint Hamilton cycles, i.e. G contains a set of r−o(r) edge-disjoint Hamilton cycles. Here G is a robust outexpander if for every set S which is not too small and not too large, the ‘robust’ outneighbourhood of S is a little larger than S. T...

Abstract Background Anxiety disorders (ADs) are associated with numerous psychiatric disorders; despite the efforts in psychotherapy models targeting their etiology, novel treatment strategies still developing. We aimed to assess whether mindfulness and metacognition differ between patients ADs healthy controls (HCs) symptom severity of is related among patients. Two-hundred participants were e...

background and objectives: low quality of life in hemodialysis patients is a major factor leading to cardiovascular diseases and other important outcomes such as hospitalization and death. the present study attempted to examine the impacts of training intervention on perceived psychological health and quality of life among hemodialysis patients. methods: in this cross-sectional intervention stu...

Deep vein thrombosis (DVT) is a condition, in which an obstruction of blood flow in veins is found due to the formation of blood clots in the deep veins. An objective diagnosis of DVT is based on ultrasonography examination. However, in poor countries, including Indonesia, many hospitals still do not have the facilities of ultrasonography, less vascular specialists, or D-dimer examination and t...

We consider the complexity of the Hamilton cycle decision problem when restricted to k-uniform hypergraphs H of high minimum codegree δ(H). We show that for tight Hamilton cycles this problem is NP-hard even when restricted to k-uniform hypergraphsH with δ(H) ≥ n2−C, where n is the order of H and C is a constant which depends only on k. This answers a question raised by Karpiński, Ruciński and ...

BACKGROUND Suboxone (Buprenorphine/naloxone) is a novel drug used in opiate substitution therapy. In Hungary, it was introduced in November 2007. Suboxone is a product for sublingual administration containing the partial mu-receptor agonist buprenorphine and antagonist naloxone in a 4:1 ratio. OBJECTIVE Objectives of our study were to monitor and evaluate the effects of Suboxone treatment. ...

The illiquid market model HJB equations and characterization of the solution Power utility functions and numerical results

In this paper we provide a maximum norm analysis of an overlapping Schwarz method on non-matching grids for evolutionary HJB equation with nonlinear source terms with the mixed boundary conditions and a general elliptic operator. Moreover, an asymptotic behavior in uniform norm is established.