Consider the following directed graph G. The numbers next to each edge denote the cost of the edge. (There are arrows; they're just tiny.) 2 4 2 3 2 (a) Run Dijsktra's algorithm to find d(s, v) (the shortest distance from s to v) for all vertices v. (b) Change the cost of edge (b, a) to –2. What is the shortest distance from s to a now? (You can answer this by inspecting the graph.) Run Dijkstra's algorithm until it creates an error, and explain what went wrong (and why).
Consider the following directed graph G. The numbers next to each edge denote the cost of the edge. (There are arrows; they're just tiny.) 2 4 2 3 2 (a) Run Dijsktra's algorithm to find d(s, v) (the shortest distance from s to v) for all vertices v. (b) Change the cost of edge (b, a) to –2. What is the shortest distance from s to a now? (You can answer this by inspecting the graph.) Run Dijkstra's algorithm until it creates an error, and explain what went wrong (and why).
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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Transcribed Image Text:Consider the following directed graph G. The numbers next to each edge denote the cost of
the edge. (There are arrows; they're just tiny.)
4
3
2
4
(a) Run Dijsktra's algorithm to find d(s, v) (the shortest distance from s to v) for all
vertices v.
(b) Change the cost of edge (b, a) to –2. What is the shortest distance from s to a now?
(You can answer this by inspecting the graph.) Run Dijkstra’s algorithm until it
creates an error, and explain what went wrong (and why).
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