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Unformatted text preview: Kruskal’s Algorithm Joseph B. Kruskal Input: G=(V,E) , c e > 0 for every e in E T = Ø Sort edges in increasing order of their cost Consider edges in sorted order If an edge can be added to T without adding a cycle then add it to T Prim’s algorithm Robert Prim Similar to Dijkstra’s algorithm Input: G=(V,E) , c e > 0 for every e in E 2 1 3 51 50 0.5 S = {s}, T = Ø While S is not the same as V Among edges e= (u,w) with u in S and w not in S , pick one with minimum cost Add w to S , e to T 2 1 50 0.5 ReverseDelete Algorithm Input: G=(V,E) , c e > 0 for every e in E T = E Sort edges in decreasing order of their cost Consider edges in sorted order If an edge can be removed T without disconnecting T then remove it 2 1 3 51 50 0.5 2 1 3 51 50 0.5 (Old) History of MST algorithms 1920: Otakar Borůvka 1930: Vojtěch Jarník 1956: Kruskal 1957: Prim 1959: Dijkstra Same algo! Same algo!...
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This note was uploaded on 12/11/2011 for the course CSE 331 taught by Professor Rudra during the Fall '11 term at SUNY Buffalo.
 Fall '11
 RUDRA

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