lec0502-MST - Announcements MP 7 available Due 5/4 11:59p...

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Unformatted text preview: Announcements: MP 7 available. Due 5/4, 11:59p. Today: Algorithms – MST Graphs: Traversal – quiz Algorithm ________(G,v): ________ p; setLabel(v, VISITED) __________ While !(p.isEmpty) p.___________(v) For all w in G._______________(v) if getLabel(w) = UNEXPLORED setLabel((v,w),DISCOVERY) setLabel(w, VISITED) p.______________(w) else if getLabel((v,w)) = UNEXPLORED setLabel((v,w),______________) C B A E D F Running time: ___________ If we do not assume an _____________ implementation, the running time increases to _________ . Why? Minimum Spanning Tree Algorithms: •Input: connected, undirected graph G with unconstrained edge weights •Output: a graph G’ with the following characteristics - •G’ is a spanning subgraph of G •G’ is connected and acyclic (a tree) •G’ has minimal total weight among all such spanning trees - _________________________ C B A E D F 4 6 7 1 2 5 2 3 9 Kruskal’s Algorithm a b c f g h e d 5 15 5 16 10 11 12 9 2 8 12 13 17 2 16 4 (a,d) (e,h) (f,g) (a,b) (b,d) (g,e) (g,h) (e,c) (c,h) (e,f) (f,c) (d,e) (b,c) (c,d) (a,f) (d,f) Kruskal’s Algorithm (1956) a b c...
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lec0502-MST - Announcements MP 7 available Due 5/4 11:59p...

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