The Molecular Distance Geometry Problem (MDGP) consists in finding an embedding in R of a nonnegatively weighted simple undirected graph with the property that the Euclidean distances between embedded adjacent vertices must be the same as the corresponding edge weights. The Discretizable Molecular Distance Geometry Problem (DMDGP) is a particular subset of the MDGP which can be solved using a d...

Let j and k be nonnegative integers. An L(j, k)-labeling of a graph G, where j ≥ k, is a function f : V (G) → Z ∪ {0} such that if u and v are adjacent vertices in G, then |f(u) − f(v)| ≥ j, while if u and v are vertices such that d(u, v) = 2, then |f(u) − f(v)| ≥ k. The largest label used by f is the span of f . The smallest span among all L(j, k)-labelings f of G, denoted λj,k(G), is called t...

BACKGROUND The extent to which neighbourhood characteristics explain accumulation of health behaviours is poorly understood. We examined whether neighbourhood disadvantage was associated with co-occurrence of behaviour-related risk factors, and how much of the neighbourhood differences in the co-occurrence can be explained by individual and neighbourhood level covariates. METHODS The study po...

Little is known about the potential effects of neighbourhood environment on positive mental health in older people. We examined cross-sectional associations between the index of multiple deprivation score of the census area of residence, perceptions of neighbourhood cohesion and neighbourhood problems and mental wellbeing, as measured by the Warwick-Edinburgh Mental Wellbeing Scale, in 1157 men...

Neighbourhood structure and size are important parameters in local search algorithms. This is also true for generalised local search algorithms like simulated annealing. It has been shown that the performance of simulated annealing can be improved by adopting a suitable neighbourhood size. However, previous studies usually assumed that the neighbourhood size was xed during search. This paper pr...

The goal of this paper is to measure the non-convexity compact and smooth connected components real algebraic plane curves. We study these curves first in a general setting then an asymptotic one. In particular, we consider sufficiently small levels bivariate polynomial enough neighbourhood strict local minimum at origin affine plane. introduce describe new combinatorial object, called Poincare...

The obnoxious p-median problem is a facility location where we maximise the sum of distances between each client point and its nearest facility. Since it nondeterministic polynomial-time (NP)-hard, most algorithms designed for follow metaheuristic strategies to find high-quality solutions in affordable time but with no optimality guarantee. In this paper, variant iterated greedy algorithm devel...

During their life course, older persons' income level may become discrepant with the socio-economic status of their neighbourhood. This study examines whether and how such discrepancies affect older persons' physical and mental health. Using baseline data from the Longitudinal Aging Study Amsterdam, 2,540 non-institutionalised persons aged 55-85 years were classified based on self-reported inco...

BACKGROUND Past research suggests that perceived neighbourhood conditions may influence adolescents' emotional health. Relatively little research has been conducted examining the association of perceived neighbourhood conditions with depressive symptoms among Caribbean adolescents. This project examines the association of perceived neighbourhood conditions with levels of depressive symptoms amo...

Neighbourhood effects studies have demonstrated an association between area deprivation and smoking behaviour whereby people living in deprived neighbourhoods are more likely to smoke than those in non-deprived neighbourhoods. This evidence though is based largely upon data that ignores long term exposures to neighbourhood contexts and is confounded by neighbourhood selection bias. In this stud...