By using the graph theory and the method of data transformation,a series of connectivity matrixes and loop matrixes are derived from the basic relation matrix—the matrix KL.

Based on the basic relation matrix, a series of joined matrixes can be worked out automatically, and the drawing and labeling can be accomplished.

First,input the basic relation matrix,then work out the corresponding data with a computer.

In this paper,by analogying the two basic related matrix of looped network,loop-node matrix and loop-pipe section matrix,all pipe section code that linked every node can be found out.

Having analysed the characteristics of the fundamental incidence matrix ofmine ventilation network, the writers put forward a rapid algorithm for establishing independent circuit matrix on condition that the elementary line operation limited in stepswas made for the fundamental incidence matrix of mine ventilation network.

The estimation of the fundamental matrix in computer vision;

Improved projection based M-estimators for fundamental matrix in stereovision;

Robust method for estimating the fundamental matrix;

Deduces the fuzzy relation matrixes from the definitions of the membership functions in various states.

On the basis of the above definitions,we construct an undirected graph model for product family architecture and its customization constraint relation matrix.