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  2. Graph Modelling Language - Wikipedia

    en.wikipedia.org/wiki/Graph_Modelling_Language

    The Graphviz project includes two command-line tools (gml2gv and gv2gml) that can convert to and from the DOT file format. Wolfram Language, a general very high-level programming language, supports GML import and export.

  3. 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.

  4. Adjacency list - Wikipedia

    en.wikipedia.org/wiki/Adjacency_list

    An adjacency list representation for a graph associates each vertex in the graph with the collection of its neighbouring vertices or edges. There are many variations of this basic idea, differing in the details of how they implement the association between vertices and collections, in how they implement the collections, in whether they include both vertices and edges or only vertices as first ...

  5. Graph database - Wikipedia

    en.wikipedia.org/wiki/Graph_database

    For example, consider a search for users who have "subscribers" (a table linking users to other users) in the "311" area code. In this case a relational database has to first search for all the users with an area code in "311", then search the subscribers table for any of those users, and then finally search the users table to retrieve the ...

  6. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    The edge (,) is called the inverted edge of (,). Multiple edges , not allowed under the definition above, are two or more edges with both the same tail and the same head. In one more general sense of the term allowing multiple edges, [ 5 ] a directed graph is an ordered triple G = ( V , E , ϕ ) {\displaystyle G=(V,E,\phi )} comprising:

  7. Edge list - Wikipedia

    en.wikipedia.org/wiki/Edge_list

    An edge list is a data structure used to represent a graph as a list of its edges. An (unweighted) edge is defined by its start and end vertex, so each edge may be represented by two numbers. [1] The entire edge list may be represented as a two-column matrix. [2] [3] An edge list may be considered a variation on an adjacency list which is ...

  8. GraphML - Wikipedia

    en.wikipedia.org/wiki/GraphML

    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.

  9. Degree matrix - Wikipedia

    en.wikipedia.org/wiki/Degree_matrix

    where the degree ⁡ of a vertex counts the number of times an edge terminates at that vertex. In an undirected graph , this means that each loop increases the degree of a vertex by two. In a directed graph , the term degree may refer either to indegree (the number of incoming edges at each vertex) or outdegree (the number of outgoing edges at ...