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)

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

Problem 1PE

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