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  2. Chemical graph generator - Wikipedia

    en.wikipedia.org/wiki/Chemical_graph_generator

    A series of stochastic generators was reported by Jean-Loup Faulon. The software, MOLSIG, [24] was integrated into this stochastic generator for canonical labelling and duplicate checks. [25] As for many other generators, the tree approach is the skeleton of Jean-Loup Faulon's structure generators.

  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. GraphBLAS - Wikipedia

    en.wikipedia.org/wiki/GraphBLAS

    GraphBLAS (/ ˈ ɡ r æ f ˌ b l ɑː z / ⓘ) is an API specification that defines standard building blocks for graph algorithms in the language of linear algebra. [1] [2] GraphBLAS is built upon the notion that a sparse matrix can be used to represent graphs as either an adjacency matrix or an incidence matrix.

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

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

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  6. Minimum rank of a graph - Wikipedia

    en.wikipedia.org/wiki/Minimum_rank_of_a_graph

    More generally, a generalized adjacency matrix is any symmetric matrix of real numbers with the same pattern of nonzeros off the diagonal (the diagonal elements may be any real numbers). The minimum rank of G {\displaystyle G} is defined as the smallest rank of any generalized adjacency matrix of the graph; it is denoted by mr ⁡ ( G ...

  7. Social network analysis software - Wikipedia

    en.wikipedia.org/wiki/Social_network_analysis...

    NodeXL Basic is free, NodeXL Pro is a paid subscription NodeXL is a (social) network analysis and visualization Add-in for Microsoft Excel written in C#. It integrates into Excel 2010, 2013, 2016, 2019, 2021, 365 and adds undirected and directed graphs as a chart type to the spreadsheet and calculates a core set of network metrics and scores.

  8. Graph (abstract data type) - Wikipedia

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

    Adjacency lists are generally preferred for the representation of sparse graphs, while an adjacency matrix is preferred if the graph is dense; that is, the number of edges | | is close to the number of vertices squared, | |, or if one must be able to quickly look up if there is an edge connecting two vertices.

  9. Expander graph - Wikipedia

    en.wikipedia.org/wiki/Expander_graph

    When G is d-regular, meaning each vertex is of degree d, there is a relationship between the isoperimetric constant h(G) and the gap d − λ 2 in the spectrum of the adjacency operator of G. By standard spectral graph theory, the trivial eigenvalue of the adjacency operator of a d-regular graph is λ 1 = d and the first non-trivial eigenvalue ...