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Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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For the following questions, assume we run the following version of Prim's on the graph above. algorithm Prims Input: Weighted, Undirected, connected Graph G=(V,E) with edge weights we Output: A Tree T=(V.E'), with E'CE that minimizes the edge weight sum for all u EV: cost(u) == prev(u) = nil Pick any initial node u cost(u) = 0 unvisited = makequeue(V) (priority queue, using cost-values as keys) while unvisited is not empty: V = deletemin(unvisited) for each {v, z} E E: if cost(z) > w(v, z) and unvisited.contains(Z): prev(z) = v cost(z) = w(v, z) decreasekey(unvisited, z)
Transcribed Image Text:For the following questions, assume we run the following version of Prim's on the graph above. algorithm Prims Input: Weighted, Undirected, connected Graph G=(V,E) with edge weights we Output: A Tree T=(V.E'), with E'CE that minimizes the edge weight sum for all u EV: cost(u) == prev(u) = nil Pick any initial node u cost(u) = 0 unvisited = makequeue(V) (priority queue, using cost-values as keys) while unvisited is not empty: V = deletemin(unvisited) for each {v, z} E E: if cost(z) > w(v, z) and unvisited.contains(Z): prev(z) = v cost(z) = w(v, z) decreasekey(unvisited, z)
1. Plans that Span (MSTs) 6 4 3 6 4 2 2 5 3 7 8 8 6 5 5
Transcribed Image Text:1. Plans that Span (MSTs) 6 4 3 6 4 2 2 5 3 7 8 8 6 5 5
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