A graph G = (V, E) is called (k, k′)-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, and assigns to each edge e a set L(e) of k′ real numbers, there is a mapping f : V ∪ E → R such that f(y) ∈ L(y) for any y ∈ V ∪ E and for any two adjacent vertices x, x′, ∑ e∈E(x) f(e)+f(x) 6= ∑ e∈E(x′) f(e)+f(x ′). We ...

A graph G with a list of colors L(v) and weight w(v) for each vertex v is (L,w)-colorable if one can choose a subset of w(v) colors from L(v) for each vertex v, such that adjacent vertices receive disjoint color sets. In this paper, we give necessary and sufficient conditions for a weighted path to be (L,w)-colorable for some list assignments L. Furthermore, we solve the problem of the free-cho...

A graph G is said to be F-residual if for every point u in G, the graph obtained by removing the closed neighborhood of u from G is isomorphic to F. Similarly, if the remove of m consecutive closed neighborhoods yields Kn, then G is called m-Kn-residual graph. Erdös determine the minimum order of the m-Kn-residual graph for all m and n, the minimum order of the connected Kn-residual graph is fo...

An econometric model is specified in which an individual’s income and the income mix of the neighbourhood in which the individual resides are endogenous, thus providing a holistic model of phenomena that previously have been fragmented into neighbourhood effects and neighbourhood selection literatures. To overcome the biases from selection and endogeneity, the parameters of this model are estim...

STUDY OBJECTIVE To provide reliability information for a brief observational measure of physical disorder and determine its relation with neighbourhood level crime and health variables after controlling for census based measures of concentrated poverty and minority concentration. DESIGN Psychometric analysis of block observation data comprising a brief measure of neighbourhood physical disord...

Study objective: Using a conceptual rather than a mathematical approach, this article proposed a link between multilevel regression analysis (MLRA) and social epidemiological concepts. It has been previously explained that the concept of clustering of individual health status within neighbourhoods is useful for operationalising contextual phenomena in social epidemiology. It has been shown that...

Spatio-temporal outliers are occurrences that can reveal significant information about the phenomena under investigation. They are detected after comparing their non-spatial attributes with their spatio-temporal neighbours. One of the important definitions that need to be made is the spatio-temporal neighbourhood of an instance. There can be no universally applicable definition of the spatio-te...

Much health care research involves measurement of biological function. This chapter is concerned with the assessment of biological function in psychosocial research on health. The psychosocial factors studied in health care research include features of the individual’s sociodemographic position (age, gender, ethnicity, socioeconomic status etc.), aspects of social experience (such as social net...

In this paper we focus on the test selection problem. It is modeled after a real-life problem that arises in telecommunication when one has to check the reliability of an application. We apply different metaheuristics, namely Reactive Tabu Search (RTS), Genetic Algorithms (GA) and Simulated Annealing (SA) to solve the problem. We propose some modifications to the conventional schemes including ...