Prove: Proposition Q. ( Generic shortest-paths algorithm) Initialize distTo[s] to 0 and all other distTo[] values to infinity, and proceed as follows: Relax any edge in G, continuing until no edge is eligible. For all vertices w reachable from s, the value of distTo[w] after this computation is the length of a shortest path from s to w (and the value of edgeTo[] is the last edge on that path).
Prove: Proposition Q. ( Generic shortest-paths algorithm) Initialize distTo[s] to 0 and all other distTo[] values to infinity, and proceed as follows: Relax any edge in G, continuing until no edge is eligible. For all vertices w reachable from s, the value of distTo[w] after this computation is the length of a shortest path from s to w (and the value of edgeTo[] is the last edge on that path).
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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Prove:
Proposition Q. ( Generic shortest-paths
all other distTo[] values to infinity, and proceed as follows:
Relax any edge in G, continuing until no edge is eligible.
For all vertices w reachable from s, the value of distTo[w] after this computation
is the length of a shortest path from s to w (and the value of edgeTo[] is the last
edge on that path).
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