An effective method for locally neighborhood graphs updating

Abstract

Neighborhood graphs are an effective and very widespread technique in several fields. But, in spite of the neighborhood graphs interest, their construction algorithms suffer from a very high complexity what prevents their implementation for great data volumes processing applications. With this high complexity, the update task is also affected. These structures constitute actually a possible representation of the point location problem in a multidimensional space. The point location on an axis can be solved by a binary research. This same problem in the plan can be solved by using a voronoi diagram, but when dimension becomes higher, the location becomes more complex and difficult to manage. We propose in this paper an effective method for point location in a multidimensional space with an aim of effectively and quickly updating neighborhood graphs. © Springer-Verlag Berlin Heidelberg 2005.