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Description: Adjacency matrix of the Cayley graph of S 4, . generated by blue: (12) green: (13) red: (14) This is the corresponding graph, called the Nauru graph: . The red, green and blue squares form the permutation matrices, indexed 1, 5 and 21 in the following file.
In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal. If the graph is undirected (i.e. all of its edges are bidirectional), the adjacency matrix is symmetric. The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory.
Download QR code; Print/export ... Adjacency list; Adjacency matrix; Algebraic decision diagram; B. ... Sentential decision diagram; Skip graph;
Download QR code; Print/export ... Adjacency list; Adjacency matrix; ... Scene graph; Decision tree. Binary decision diagram; Zero-suppressed decision diagram;
The adjacency matrix of a complete bipartite graph K m,n has eigenvalues √ nm, − √ nm and 0; with multiplicity 1, 1 and n + m − 2 respectively. [12] The Laplacian matrix of a complete bipartite graph K m,n has eigenvalues n + m, n, m, and 0; with multiplicity 1, m − 1, n − 1 and 1 respectively. A complete bipartite graph K m,n has m ...
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, [1] is a graph that encodes the abstract structure of a group. Its definition is suggested by Cayley's theorem (named after Arthur Cayley ), and uses a specified set of generators for the group.
UML class diagram of a Graph (abstract data type) The basic operations provided by a graph data structure G usually include: [1]. adjacent(G, x, y): tests whether there is an edge from the vertex x to the vertex y;
A GraphML file consists of an XML file containing a graph element, within which is an unordered sequence of node and edge elements. Each node element should have a distinct id attribute, and each edge element has source and target attributes that identify the endpoints of an edge by having the same value as the id attributes of those endpoints.