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The neighbourhood of a vertex v in a graph G is the subgraph of G induced by all vertices adjacent to v, i.e., the graph composed of the vertices adjacent to v and all edges connecting vertices adjacent to v. The neighbourhood is often denoted or (when the graph is unambiguous) . The same neighbourhood notation may also be used ...
A set in the plane is a neighbourhood of a point if a small disc around is contained in . The small disc around is an open set .. In topology and related areas of mathematics, a neighbourhood (or neighborhood) is one of the basic concepts in a topological space.
Neighbourhood sociology is a subfield of urban sociology which studies local communities [9] [10] Neighbourhoods are also used in research studies from postal codes and health disparities, to correlations with school drop out rates or use of drugs. [11]
Neighborhood planning is a form of urban planning through which professional urban planners and communities seek to shape new and existing neighborhoods. It can denote the process of creating a physical neighborhood plan, for example via participatory planning, or an ongoing process through which neighborhood affairs are decided.
The Moore neighbourhood of a cell is the cell itself and the cells at a Chebyshev distance of 1. The concept can be extended to higher dimensions, for example forming a 26-cell cubic neighborhood for a cellular automaton in three dimensions, as used by 3D Life .
Moreover, for each number of cities there is an assignment of distances between the cities for which the nearest neighbour heuristic produces the unique worst possible tour. (If the algorithm is applied on every vertex as the starting vertex, the best path found will be better than at least N/2-1 other tours, where N is the number of vertices ...
A neighbourhood (also spelled neighborhood) is a geographically localised community within a larger city, town, suburb or rural area. Neighbo ( u ) rhood ( s ) may also refer to: Mathematics
The neighborhood effect is an economic and social science concept that posits that neighbourhoods have either a direct or an indirect effect on individual behaviors. . Although the effect of the neighbourhood was already known and studied at the beginning of the 20th century [1] and as early as the mid-19th century, [2] it has become a popular approach after the publication of the book The ...