The pebbling number of a graph G, f(G), is the least m such that, however m pebbles are placed on the vertices of G, we can move a pebble to any vertex by a sequence of moves, each move taking two pebbles o one vertex and placing one on an adjacent vertex. It is conjectured that for all graphs G and H , f(G H) f(G)f(H). Let Cm and Cn be cycles. We prove that f(Cm Cn) f(Cm)f(Cn) for all but a ni...

A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to the set of colours appearing on the edges incident with w. Let ndi(G) be the least number of colours required for a proper neighbour-distinguishing edge colouring of G. We prove that for d ≥ 4, a random d-regular grap...

BACKGROUND In this study we examined whether (1) the neighbourhood aspects of access to amenities, neighbourhood quality, neighbourhood disorder, and neighbourhood social cohesion are associated with people's self rated health, (2) these health effects reflect differences in socio-demographic composition and/or neighbourhood deprivation, and (3) the associations with the different aspects of th...

Textural patterns can often be used to recognize familiar objects in an image or retrieve images with similar texture from a database. Texture patterns can provide significant and abundance of texture and shape information. One of the recent significant and important texture features called Texton represents the various patterns of image which is useful in texture analysis. The present paper is...

A major portion of the research efforts of the computer vision community has been directed toward the study of the three-dimensional (3-D) structure of objects using machine analysis of images (Scharstein & Szeliski, 2002). We can view the problem of stereo analysis as consisting of the following steps: image acquisition, camera modelling, feature acquisition, image matching, depth determinatio...

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...

The k-Nearest-Neighbours (kNN) is a simple but effective method for classification. The success of kNN in classification depends on the selection of a “good value” for k. To reduce the bias of k and take account of the different roles or influences that features play with respect to the decision attribute, we propose a novel asymmetric neighbourhood selection and support aggregation method in t...

In this paper, changes in sequences pattern describing damage-sensitive features of an object which undergoes a failure mode are recognized using an immune algorithm. A frequency response change is an effect for various failure modes occurrence. The objective of this paper is to present immune algorithm for pattern recognition which can discover dependencies between failure mode and effect freq...

Three country studies on Great Britain (C. Peach), the Netherlands (S. Musterd/W. Ostendorf), and Sweden (R. Andersson) outline key features of ethnic residential segregation and discuss their relevance for the integration of migrants. For all three countries the degree of settlement concentration is considered moderate. Empirical results are presented on links between neighbourhood and, e. g.,...