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
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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).
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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