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  2. Topological sorting - Wikipedia

    en.wikipedia.org/wiki/Topological_sorting

    Topological sorting. In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that for every directed edge (u,v) from vertex u to vertex v, u comes before v in the ordering. For instance, the vertices of the graph may represent tasks to be performed, and the edges may ...

  3. Tarjan's strongly connected components algorithm - Wikipedia

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

    Therefore, the order in which the strongly connected components are identified constitutes a reverse topological sort of the DAG formed by the strongly connected components. [7] Donald Knuth described Tarjan's SCC algorithm as one of his favorite implementations in the book The Stanford GraphBase. [8] He also wrote: [9]

  4. Kruskal's algorithm - Wikipedia

    en.wikipedia.org/wiki/Kruskal's_algorithm

    Kruskal's algorithm[1] finds a minimum spanning forest of an undirected edge-weighted graph. If the graph is connected, it finds a minimum spanning tree. It is a greedy algorithm that in each step adds to the forest the lowest-weight edge that will not form a cycle. [2] The key steps of the algorithm are sorting and the use of a disjoint-set ...

  5. Graph traversal - Wikipedia

    en.wikipedia.org/wiki/Graph_traversal

    Graph traversal. In computer science, graph traversal (also known as graph search) refers to the process of visiting (checking and/or updating) each vertex in a graph. Such traversals are classified by the order in which the vertices are visited. Tree traversal is a special case of graph traversal.

  6. Sweep line algorithm - Wikipedia

    en.wikipedia.org/wiki/Sweep_line_algorithm

    In computational geometry, a sweep line algorithm or plane sweep algorithm is an algorithmic paradigm that uses a conceptual sweep line or sweep surface to solve various problems in Euclidean space. It is one of the critical techniques in computational geometry. The idea behind algorithms of this type is to imagine that a line (often a vertical ...

  7. Timsort - Wikipedia

    en.wikipedia.org/wiki/Timsort

    Timsort is a stable sorting algorithm (order of elements with same key is kept) and strives to perform balanced merges (a merge thus merges runs of similar sizes). In order to achieve sorting stability, only consecutive runs are merged. Between two non-consecutive runs, there can be an element with the same key inside the runs.

  8. tsort - Wikipedia

    en.wikipedia.org/wiki/Tsort

    1979; 45 years ago (1979) Operating system. Unix, Unix-like, V, Inferno. Platform. Cross-platform. Type. Command. The tsort program is a command line utility on Unix and Unix-like platforms, that performs a topological sort on its input. As of 2017, it is part of the POSIX.1 standard.

  9. Batcher odd–even mergesort - Wikipedia

    en.wikipedia.org/wiki/Batcher_odd–even_mergesort

    Batcher's odd–even mergesort[1] is a generic construction devised by Ken Batcher for sorting networks of size O (n (log n) 2) and depth O ( (log n) 2), where n is the number of items to be sorted. Although it is not asymptotically optimal, Knuth concluded in 1998, with respect to the AKS network that "Batcher's method is much better, unless n ...