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2. NetworkX - Wikipedia

   en.wikipedia.org/wiki/NetworkX

   NetworkX is suitable for operation on large real-world graphs: e.g., graphs in excess of 10 million nodes and 100 million edges. [ clarification needed ] [ 19 ] Due to its dependence on a pure-Python "dictionary of dictionary" data structure, NetworkX is a reasonably efficient, very scalable , highly portable framework for network and social ...

3. Connectivity (graph theory) - Wikipedia

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

   The connectivity and edge-connectivity of G can then be computed as the minimum values of κ(u, v) and λ(u, v), respectively. In computational complexity theory , SL is the class of problems log-space reducible to the problem of determining whether two vertices in a graph are connected, which was proved to be equal to L by Omer Reingold in ...

4. Algebraic connectivity - Wikipedia

   en.wikipedia.org/wiki/Algebraic_connectivity

   An example graph, with 6 vertices, diameter 3, connectivity 1, and algebraic connectivity 0.722 The algebraic connectivity (also known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph G is the second-smallest eigenvalue (counting multiple eigenvalues separately) of the Laplacian matrix of G. [1]

5. Strongly connected component - Wikipedia

   en.wikipedia.org/wiki/Strongly_connected_component

   Several algorithms based on depth-first search compute strongly connected components in linear time.. Kosaraju's algorithm uses two passes of depth-first search. The first, in the original graph, is used to choose the order in which the outer loop of the second depth-first search tests vertices for having been visited already and recursively explores them if not.

6. N2 chart - Wikipedia

   en.wikipedia.org/wiki/N2_Chart

   The "N" in an N 2 diagram is the number of entities for which relationships are shown. This N × N matrix requires the user to generate complete definitions of all interfaces in a rigid bidirectional, fixed framework. The user places the functional or physical entities on the diagonal axis and the interface inputs and outputs in the remainder ...

7. Scale-free network - Wikipedia

   en.wikipedia.org/wiki/Scale-free_network

   A variant of the 2-L model, the k2 model, where first and second neighbour nodes contribute equally to a target node's attractiveness, demonstrates the emergence of transient scale-free networks. [4] In the k2 model, the degree distribution appears approximately scale-free as long as the network is relatively small, but significant deviations ...

8. Laplacian matrix - Wikipedia

   en.wikipedia.org/wiki/Laplacian_matrix

   In the matrix notation, the adjacency matrix of the undirected graph could, e.g., be defined as a Boolean sum of the adjacency matrix of the original directed graph and its matrix transpose, where the zero and one entries of are treated as logical, rather than numerical, values, as in the following example:

9. Adjacency matrix - Wikipedia

   en.wikipedia.org/wiki/Adjacency_matrix

   Unless lengths of edges are explicitly provided, the length of a path is the number of edges in it. The distance matrix resembles a high power of the adjacency matrix, but instead of telling only whether or not two vertices are connected (i.e., the connection matrix, which contains Boolean values), it gives the exact distance between them.