The Floyd-Warshall transitive closure algorithm is a dynamic programming algorithm: it makes use of many subproblem solutions to solve the whole prol know if there is a way to get from vertex A to B, what subproblem solutions does it use? OFor every other vertex X, see if there are paths from A to X and from X to B CDo a breadth first search to see if there is a path from A to B ODo a depth first search to see if there is a path from A to B CCheck every path from A to B What's the runtime of the Floyd-Warshall transitive closure algorithm on a graph with N vertices, M edges O(N) Check O(N log N) O(M) O(N+M) O(N^2) O(N^3)

The Floyd-Warshall transitive closure algorithm is a dynamic programming algorithm: it makes use of many subproblem solutions to solve the whole prol know if there is a way to get from vertex A to B, what subproblem solutions does it use? OFor every other vertex X, see if there are paths from A to X and from X to B CDo a breadth first search to see if there is a path from A to B ODo a depth first search to see if there is a path from A to B CCheck every path from A to B What's the runtime of the Floyd-Warshall transitive closure algorithm on a graph with N vertices, M edges O(N) Check O(N log N) O(M) O(N+M) O(N^2) O(N^3)

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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Question

The Floyd-Warshall transitive closure algorithm is a dynamic programming algorithm: it makes use of many subproblem solutions to solve the whole problem. In particular, to
know if there is a way to get from vertex A to B, what subproblem solutions does it use?
OFor every other vertex X, see if there are paths from A to X and from X to B
ODo a breadth first search to see if there is a path from A to B
Do a depth first search to see if there is a path from A to B
OCheck every path from A to B
What's the runtime of the Floyd-Warshall transitive closure algorithm on a graph with N vertices, M edges
O(N)
Check
O(N log N)
O(M)
O(N+M)
O(N^2)
O(N^3)

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