Original sentence: (Encyclopedia of Mathematics).Criteria have been found and effective algorithms have been developed for the.Each row and each column of the matrix is assigned a node from the graph.Given a graph of n nodes, the adjacency matrix is an (n X n) binary.Graph theory deals with specific types of problems, as well as with problems of a general nature.Here, a number of results have been obtained.In his book, The Art of Concurrency, 1st Edition, Clay Breshears mentions that “The most frequently used representation of a.In the analysis of the.One type of such specific.Thus, the smallest number of.chains connecting the various vertices of a graph.column representing v ; otherwise, a 0 is stored to note that the edge is not within the graph.connectedness of the graph).establishment of the degree of connectivity of a graph (the smallest number of vertices or edges the removal of which destroys the.graph within a computer application is an adjacency matrix.matrix that represents the edges within the graph.problems is the connectivity of graphs, and the study of the structure of a graph based on its connectivity.reliability of electronic circuits or communications networks there arises the problem of finding the number of non-intersecting.simple chains which connect this pair of vertices.the edge (u,v ) is present in the graph, a 1 is entered in the element at the intersection of the row representing u and the.vertices separating two non-adjacent vertices of a graph is equal to the greatest number of non-intersecting (at the vertices)