Hypergraphs and matroids of the geodetic networks

Abstract

At present time digital models of the geodetic networks are presented by their graphs. Farther development of the graphs theory reduces to the some generalisations. In this thesis possibilities of the application of hypergraphs and matroids for the presentation of the geodetic networks are described. Primary attention is devoted to the digital representation of the graphs - to the matrices of the graphs, and the fundamental graphic rendering is given. Such interpretation gives good possibilities to the networks visualisation, helps to optimise the adjustment routines, facilitates the tracing of the outliers.