enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. File:Symmetric group 4; Cayley graph 1,5,21 (adjacency matrix ...

    en.wikipedia.org/wiki/File:Symmetric_group_4;...

    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.

  3. Adjacency matrix - Wikipedia

    en.wikipedia.org/wiki/Adjacency_matrix

    In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph. In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal.

  4. File:Graph for example adjacency matrix.svg - Wikipedia

    en.wikipedia.org/wiki/File:Graph_for_example...

    Download QR code; In other projects ... Graph for example adjacency matrix. Source: I ... probably added from the digital camera or scanner used to create or digitize ...

  5. Complete bipartite graph - Wikipedia

    en.wikipedia.org/wiki/Complete_bipartite_graph

    The complete bipartite graph K m,n has a vertex covering number of min{m, n} and an edge covering number of max{m, n}. The complete bipartite graph K m,n has a maximum independent set of size max{m, n}. 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 ...

  6. Minimum rank of a graph - Wikipedia

    en.wikipedia.org/wiki/Minimum_rank_of_a_graph

    The adjacency matrix of an undirected graph is a symmetric matrix whose rows and columns both correspond to the vertices of the graph. Its elements are all 0 or 1, and the element in row i and column j is nonzero whenever vertex i is adjacent to vertex j in the graph.

  7. Strongly regular graph - Wikipedia

    en.wikipedia.org/wiki/Strongly_regular_graph

    Let I denote the identity matrix and let J denote the matrix of ones, both matrices of order v. The adjacency matrix A of a strongly regular graph satisfies two equations. First: = =, which is a restatement of the regularity requirement. This shows that k is an eigenvalue of the adjacency matrix with the all-ones eigenvector.

  8. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    The edges of a graph define a symmetric relation on the vertices, called the adjacency relation. Specifically, two vertices x and y are adjacent if {x, y} is an edge. A graph is fully determined by its adjacency matrix A, which is an n × n square matrix, with A ij specifying the number of connections from vertex i to vertex j.

  9. Neighbourhood (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Neighbourhood_(graph_theory)

    Neighbourhoods may be used to represent graphs in computer algorithms, via the adjacency list and adjacency matrix representations. Neighbourhoods are also used in the clustering coefficient of a graph, which is a measure of the average density of its neighbourhoods. In addition, many important classes of graphs may be defined by properties of ...