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An alternative algorithm for topological sorting is based on depth-first search.The algorithm loops through each node of the graph, in an arbitrary order, initiating a depth-first search that terminates when it hits any node that has already been visited since the beginning of the topological sort or the node has no outgoing edges (i.e., a leaf node):
Topological sorting is the algorithmic problem of finding a topological ordering of a given DAG. It can be solved in linear time. [16] Kahn's algorithm for topological sorting builds the vertex ordering directly.
In graph theory and theoretical computer science, the longest path problem is the problem of finding a simple path of maximum length in a given graph.A path is called simple if it does not have any repeated vertices; the length of a path may either be measured by its number of edges, or (in weighted graphs) by the sum of the weights of its edges.
Poset topology, a kind of topological space that can be defined from any poset; Scott continuity – continuity of a function between two partial orders. Semilattice – Partial order with joins; Semiorder – Numerical ordering with a margin of error; Szpilrajn extension theorem – every partial order is contained in some total order.
Topological sorting; Tournament sort; Tree sort; X. X + Y sorting This page was last edited on 1 November 2023, at 18:19 (UTC). Text is available ... Sorting algorithms.
Randomized algorithm similar to depth-first search used in generating a maze. Algorithms that use depth-first search as a building block include: Finding connected components. Topological sorting. Finding 2-(edge or vertex)-connected components. Finding 3-(edge or vertex)-connected components. Finding the bridges of a graph.
In the field of computer science, a pre-topological order or pre-topological ordering of a directed graph is a linear ordering of its vertices such that if there is a directed path from vertex u to vertex v and v comes before u in the ordering, then there is also a directed path from vertex v to vertex u. [1] [2]
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