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  2. Tarjan's strongly connected components algorithm - Wikipedia

    en.wikipedia.org/wiki/Tarjan's_strongly_connected...

    The algorithm takes a directed graph as input, and produces a partition of the graph's vertices into the graph's strongly connected components. Each vertex of the graph appears in exactly one of the strongly connected components. Any vertex that is not on a directed cycle forms a strongly connected component all by itself: for example, a vertex ...

  3. Strongly connected component - Wikipedia

    en.wikipedia.org/wiki/Strongly_connected_component

    A strongly connected component C is called trivial when C consists of a single vertex which is not connected to itself with an edge, and non-trivial otherwise. [1] The yellow directed acyclic graph is the condensation of the blue directed graph. It is formed by contracting each strongly connected component of the blue graph into a single yellow ...

  4. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.

  5. Component (graph theory) - Wikipedia

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

    A graph with three components. In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly one component, consisting ...

  6. Comparison of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_numerical...

    Integrated data analysis graphing software for science and engineering. Flexible multi-layer graphing framework. 2D, 3D and statistical graph types. Built-in digitizing tool. Analysis with auto recalculation and report generation. Built-in scripting and programming languages. Perl Data Language: Karl Glazebrook 1996 c. 1997 2.080 28 May 2022: Free

  7. List of finite element software packages - Wikipedia

    en.wikipedia.org/wiki/List_of_finite_element...

    Comprehensive set of tools for finite element codes, scaling from laptops to clusters with 100,000+ cores. Written in C++, it supports all widely used finite element types, serial and parallel meshes, and h and hp adaptivity.

  8. Connected component - Wikipedia

    en.wikipedia.org/wiki/Connected_component

    Connected component may refer to: Connected component (graph theory) , a set of vertices in a graph that are linked to each other by paths Connected component (topology) , a maximal subset of a topological space that cannot be covered by the union of two disjoint non-empty open sets

  9. Biconnected component - Wikipedia

    en.wikipedia.org/wiki/Biconnected_component

    Multi-colored vertices are cut vertices, and thus belong to multiple biconnected components. In graph theory, a biconnected component or block (sometimes known as a 2-connected component) is a maximal biconnected subgraph. Any connected graph decomposes into a tree of biconnected components called the block-cut tree of the graph.