3. Let G (V, E) be an undirccted, connectcd graph with n vertices and m cdgcs. All verticcs are initially un-marked. Consider the following algorithm: Algorithm traverse(G, u) Input: Undirected, connected graph G, and vertex u of G. Mark u For each edge (u, v) incident on u do { trim(u, v) if v is not marked then traverse(G, v) } Algorithm trim(u, v) performs kmn operations, where k is a constant valuc. Assume that G is stored in an adjacency list. What is the time complexity of algorithm traverse(G, u) in the worst case? (A) O(m +n) (В) O(тn) (С) 0(mn') V(D) O(m²n) (E) O(n²)

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
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13. Let G (V, E) be an undirected, connccted graph with n vertices and m edges. All vertices
are initially un-marked. Consider the following algorithm:
Algorithm traverse(G, u)
Input: Undirected, connected graph G, and vertex u of G.
Mark u
For each edge (u, v) incident on u do {
trim(u, v)
if v is not marked then traverse(G, v)
}
Algorithm trim(u, v) performs kmn operations, where k is a constant valuc. Assume that G
is stored in an adjacency list. What is the time complexity of algorithm traverse(G, u) in
the worst case?
(A) O(m + n)
(В) О(mn)
(C) O(mn?)
V(D) O(m2n)
(E) O(n?)
Transcribed Image Text:13. Let G (V, E) be an undirected, connccted graph with n vertices and m edges. All vertices are initially un-marked. Consider the following algorithm: Algorithm traverse(G, u) Input: Undirected, connected graph G, and vertex u of G. Mark u For each edge (u, v) incident on u do { trim(u, v) if v is not marked then traverse(G, v) } Algorithm trim(u, v) performs kmn operations, where k is a constant valuc. Assume that G is stored in an adjacency list. What is the time complexity of algorithm traverse(G, u) in the worst case? (A) O(m + n) (В) О(mn) (C) O(mn?) V(D) O(m2n) (E) O(n?)
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