On the basis of analyzing the defects in building Z-matrix by traditional adding branches method, the concepts of invented grounded-branch and connected-branches dimension are proposed.

In pressure design of reinforcement calculation of process piping branch connection,the use of pressure area method is the same as that of area replacement method in essence,the difference of which only exists in the different reinforcement scopes.

Algorithm for clustering gene expression data using connected components;

This paper presents a new clustering method based on connected components that is to resolve the categorized problems of tanks status in industry production of aluminum electrolysis.

Moreover,propertities of connected matroids,including K Fan\'s theorem,and properties of connected components of matroids are studied in detail.

On Components and Quasi-components;

R_m-edge cut is such an edge cut that separates a connected graph into a disconnected one with no component having order less than m.

In this paper,the size and the structure of component of graphs are studied,and some results are obtained.

The concepts of connected unascertained subset, the connectedness of unascertained topological space and connected component are introduced and some related theorems obtained.

Moreover,propertities of connected pre-topology Spaces,including K Fan s Theorem,and properties of connected components of pre-topology Spaces are studied in detail.

This paper give a method of judging whether addition of edge make up cycles by giving every vertex a connected component No.