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• Prims_algorithm abstract "In computer science, Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized. The algorithm operates by building this tree one vertex at a time, from an arbitrary starting vertex, at each step adding the cheapest possible connection from the tree to another vertex.The algorithm was developed in 1930 by Czech mathematician Vojtěch Jarník and later rediscovered and republished by computer scientists Robert C. Prim in 1957 and Edsger W. Dijkstra in 1959. Therefore, it is also sometimes called the DJP algorithm, Jarník's algorithm, the Prim–Jarník algorithm, or the Prim–Dijkstra algorithm.Other well-known algorithms for this problem include Kruskal's algorithm and Borůvka's algorithm. These algorithms find the minimum spanning forest in a possibly disconnected graph; in contrast, the most basic form of Prim's algorithm only finds minimum spanning trees in connected graphs. However, running Prim's algorithm separately for each connected component of the graph, it can also be used to find the minimum spanning forest. In terms of their asymptotic time complexity, these three algorithms are equally fast for sparse graphs, but slower than other more sophisticated algorithms.However, for graphs that are sufficiently dense, Prim's algorithm can be made to run in linear time, meeting or improving the time bounds for other algorithms.".
• Prims_algorithm thumbnail Prims_algorithm.svg?width=300.
• Prims_algorithm wikiPageExternalLink prims-algorithm.
• Prims_algorithm wikiPageID "53783".
• Prims_algorithm wikiPageLength "14427".
• Prims_algorithm wikiPageOutDegree "57".
• Prims_algorithm wikiPageRevisionID "695468748".
• Prims_algorithm wikiPageWikiLink Adjacency_list.
• Prims_algorithm wikiPageWikiLink Adjacency_matrix.
• Prims_algorithm wikiPageWikiLink Array_data_structure.
• Prims_algorithm wikiPageWikiLink Asymptotic_computational_complexity.
• Prims_algorithm wikiPageWikiLink Big_O_notation.
• Prims_algorithm wikiPageWikiLink Binary_heap.
• Prims_algorithm wikiPageWikiLink Borxc5xafvkas_algorithm.
• Prims_algorithm wikiPageWikiLink Category:Articles_containing_proofs.
• Prims_algorithm wikiPageWikiLink Category:Articles_containing_video_clips.
• Prims_algorithm wikiPageWikiLink Category:Graph_algorithms.
• Prims_algorithm wikiPageWikiLink Category:Spanning_tree.
• Prims_algorithm wikiPageWikiLink Computer_science.
• Prims_algorithm wikiPageWikiLink Computer_scientist.
• Prims_algorithm wikiPageWikiLink Connected_component_(graph_theory).
• Prims_algorithm wikiPageWikiLink Czechs.
• Prims_algorithm wikiPageWikiLink D-ary_heap.
• Prims_algorithm wikiPageWikiLink Dense_graph.
• Prims_algorithm wikiPageWikiLink Dijkstras_algorithm.
• Prims_algorithm wikiPageWikiLink Edsger_W._Dijkstra.
• Prims_algorithm wikiPageWikiLink Fibonacci_heap.
• Prims_algorithm wikiPageWikiLink File:MAZE_30x20_Prim.ogv.
• Prims_algorithm wikiPageWikiLink Glossary_of_graph_theory.
• Prims_algorithm wikiPageWikiLink Graph_(discrete_mathematics).
• Prims_algorithm wikiPageWikiLink Graph_theory.
• Prims_algorithm wikiPageWikiLink Greedy_algorithm.
• Prims_algorithm wikiPageWikiLink Heap_(data_structure).
• Prims_algorithm wikiPageWikiLink Kruskals_algorithm.
• Prims_algorithm wikiPageWikiLink Linked_list.
• Prims_algorithm wikiPageWikiLink Minimum_spanning_tree.
• Prims_algorithm wikiPageWikiLink Priority_queue.
• Prims_algorithm wikiPageWikiLink Pseudocode.
• Prims_algorithm wikiPageWikiLink Robert_C._Prim.
• Prims_algorithm wikiPageWikiLink Sentinel_value.
• Prims_algorithm wikiPageWikiLink Shortest_path_problem.
• Prims_algorithm wikiPageWikiLink Time_complexity.
• Prims_algorithm wikiPageWikiLink Tree_(graph_theory).
• Prims_algorithm wikiPageWikiLink Vertex_(graph_theory).
• Prims_algorithm wikiPageWikiLink Vojtěch_Jarník.
• Prims_algorithm wikiPageWikiLink File:Prims_algorithm.svg.
• Prims_algorithm wikiPageWikiLink File:Prims_algorithm_proof.svg.
• Prims_algorithm wikiPageWikiLinkText "Jarník algorithm".
• Prims_algorithm wikiPageWikiLinkText "Prim".
• Prims_algorithm wikiPageWikiLinkText "Prim's MST algorithm".
• Prims_algorithm wikiPageWikiLinkText "Prim's algorithm".
• Prims_algorithm wikiPageWikiLinkText "Prim's minimal spanning tree algorithm".
• Prims_algorithm wikiPageWikiLinkText "Prim's minimal-spanning-tree algorithm".
• Prims_algorithm wikiPageWikiLinkText "Prim's".
• Prims_algorithm wikiPageWikiLinkText "Prim’s algorithm".
• Prims_algorithm wikiPageUsesTemplate Template:Commons_category-inline.
• Prims_algorithm wikiPageUsesTemplate Template:Graph_search_algorithm.
• Prims_algorithm wikiPageUsesTemplate Template:Ordered_list.
• Prims_algorithm wikiPageUsesTemplate Template:Reflist.
• Prims_algorithm subject Category:Articles_containing_proofs.
• Prims_algorithm subject Category:Articles_containing_video_clips.
• Prims_algorithm subject Category:Graph_algorithms.
• Prims_algorithm subject Category:Spanning_tree.
• Prims_algorithm hypernym Algorithm.
• Prims_algorithm type Software.
• Prims_algorithm type Algorithm.
• Prims_algorithm type Proof.
• Prims_algorithm comment "In computer science, Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized.".
• Prims_algorithm label "Prim's algorithm".
• Prims_algorithm sameAs Q470813.
• Prims_algorithm sameAs Category:Prims_algorithm.
• Prims_algorithm sameAs Jarníkův_algoritmus.
• Prims_algorithm sameAs Algorithmus_von_Prim.
• Prims_algorithm sameAs Algoritmo_de_Prim.
• Prims_algorithm sameAs الگوریتم_پریم.
• Prims_algorithm sameAs Algorithme_de_Prim.
• Prims_algorithm sameAs האלגוריתם_של_פרים.
• Prims_algorithm sameAs Prim-algoritmus.
• Prims_algorithm sameAs Algoritma_Prim.
• Prims_algorithm sameAs Algoritmo_di_Prim.
• Prims_algorithm sameAs プリム法.
• Prims_algorithm sameAs 프림_알고리즘.
• Prims_algorithm sameAs Примов_Алгоритам.
• Prims_algorithm sameAs Algoritme_van_Prim.
• Prims_algorithm sameAs Prims_algoritme.
• Prims_algorithm sameAs Algorytm_Prima.
• Prims_algorithm sameAs Algoritmo_de_Prim.
• Prims_algorithm sameAs m.0f2jn.
• Prims_algorithm sameAs Algoritmul_lui_Prim.
• Prims_algorithm sameAs Алгоритм_Прима.
• Prims_algorithm sameAs Primov_algoritmus.
• Prims_algorithm sameAs Primov_algoritem.
• Prims_algorithm sameAs Примов_алгоритам.
• Prims_algorithm sameAs Prims_algoritm.
• Prims_algorithm sameAs Prim_algoritması.
• Prims_algorithm sameAs Алгоритм_Прима.
• Prims_algorithm sameAs Thuật_toán_Prim.
• Prims_algorithm sameAs Q470813.
• Prims_algorithm sameAs 普林姆算法.
• Prims_algorithm wasDerivedFrom Prims_algorithm?oldid=695468748.

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