ark all the correct statements. If u → v is a back edge, then pre [v] < pre [u] < post [u] < post [v] If u → v is a cross edge, then pre [u] < post [u] < pre [v] < post [v] If u → v is a tree edge or a forward edge, then pre [u] < pre [v] < post [v] < _post [u] If u → v is a tree edge or a forward edge, then pre [v] < pre [u] < post [u] < post [v] If u → v is a cross edge, then pre [v] < post [v] < pre [u] < post [u] The running time of DFS is O (|V|²). esting if a graph is directed acyclic (has no directed cycle) can be done in 0 (|V| + |E| B ID E

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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Mark all the correct statements.
A) If u → v is a back edge, then pre [v] < pre [u] < post [u] < post [[v]
B) Ifu → v is a cross edge, then pre [u] < post [u] < pre [v] < post [v]
C)If u → v is a tree edge or a forward edge, then pre [u] < pre [v] < post [v] < post [u]
D) If u
→ v is a tree edge or a forward edge, then pre [v] < pre [u] < post [u] < post [v]
E) If u
v is a cross edge, then pre [v] < post [v] < pre [u] < post [u]
F) The running time of DFS is O (|V]²)
G)
Testing if a graph is directed acyclic (has no directed cycle) can be done in O (|V| + |E|) time.
A
E
G
B.
Transcribed Image Text:Mark all the correct statements. A) If u → v is a back edge, then pre [v] < pre [u] < post [u] < post [[v] B) Ifu → v is a cross edge, then pre [u] < post [u] < pre [v] < post [v] C)If u → v is a tree edge or a forward edge, then pre [u] < pre [v] < post [v] < post [u] D) If u → v is a tree edge or a forward edge, then pre [v] < pre [u] < post [u] < post [v] E) If u v is a cross edge, then pre [v] < post [v] < pre [u] < post [u] F) The running time of DFS is O (|V]²) G) Testing if a graph is directed acyclic (has no directed cycle) can be done in O (|V| + |E|) time. A E G B.
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