the largest shortest path distance. (III) Compute the shortest path from w to every other vertex. Let x be the vertex with the largest shortest path distance. Consider the path p from w to x. Which of the following are true a. p is the longest path in the graph b. p is the shortest path in the graph c. p can be calculated in time linear in the number of edges/vertices a,c a,b a,b,c b,c
the largest shortest path distance. (III) Compute the shortest path from w to every other vertex. Let x be the vertex with the largest shortest path distance. Consider the path p from w to x. Which of the following are true a. p is the longest path in the graph b. p is the shortest path in the graph c. p can be calculated in time linear in the number of edges/vertices a,c a,b a,b,c b,c
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:Given a graph that is a tree (connected and acyclic).
(1) Pick any vertex v.
(II) Compute the shortest path from v to every other vertex. Let w be the vertex with
the largest shortest path distance.
(III) Compute the shortest path from w to every other vertex. Let x be the vertex
with the largest shortest path distance.
Consider the path p from w to x. Which of the following are true
a. p is the longest path in the graph
b. p is the shortest path in the graph
c. p can be calculated in time linear in the number of edges/vertices
a,c
a,b
a,b,c
b.c
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