Please how do I solve number 5? 19:45 42 haI3.325₂53barninthe Design and Analysis of Algorithms (3rd ed.) [Levitin 2011-10-09].pdf ✓STantyEden ofzoom4.1 InsOif A[n 1, j] return 1return 032 ☎if not Connected (A[0..n - 2, 0..n - 2]) return 0else for j 0 ton - 2 doMacBook ProQ4. Design a decrease-by-one algorithm for generating the power set of a set of nelements. (The power set of a set S is the set of all the subsets of S, includingthe empty set and S itself.)995. Consider the following algorithm to check connectivity of a graph defined byits adjacency matrix.ALGORITHM Connected (A[0..n-1, 0..n-1])//Input: Adjacency matrix A[0..n-1, 0..n - 1]) of an undirected graph G//Output: 1 (true) if G is connected and 0 (false) if it is notif n = 1 return 1 //one-vertex graph is connected by definitionelseYAOTop Reasons You Need An Ad Blocksearchmanuals1tab.comWhen you use a good ad blockingprogram, it allows you to browse theInternet without having the fear of beDoes this algorithm work correctly for every undirected graph with n > 0vertices? If you answer yes, indicate the algorithm's efficiency class in theworst case; if you answer no, explain why.6. Team ordering You have the results of a completed round-robin tournamentin which n teams played each other once. Each game ended either with avictory for one of the teams or with a tie. Design an algorithm that lists theteams in a sequence so that every team did not lose the game with the teamlisted immediately after it. What is the time efficiency class of your algorithm?7. Apply insertion sort to sort the list E, X, A, M, P, L, E in alphabetical order.8. a. What sentinel should be put before the first element of an array beingsorted in order to avoid checking the in-bound condition j≥0 on eachFri Mar 3

The algorithm recursively checks if the graph obtained by removing a vertex from the current graph…

5. Consider the following algorithm to check connectivity of a graph defined by its adjacency matrix. ALGORITHM Connected (A[0..n-1, 0..n-1]) //Input: Adjacency matrix A[0..n - 1, 0..n-1]) of an undirected graph G //Output: 1 (true) if G is connected and 0 (false) if it is not if n = 1 return 1 //one-vertex graph is connected by definition else if not Connected (A[0..n-2, 0..n-2]) return 0 else for j 0 to n - 2 do if A[n 1, j] return 1 return 0 Does this algorithm work correctly for every undirected graph with n > 0 vertices? If you answer yes, indicate the algorithm's efficiency class in the worst case; if you answer no, explain why.

5. Consider the following algorithm to check connectivity of a graph defined by its adjacency matrix. ALGORITHM Connected (A[0..n-1, 0..n-1]) //Input: Adjacency matrix A[0..n - 1, 0..n-1]) of an undirected graph G //Output: 1 (true) if G is connected and 0 (false) if it is not if n = 1 return 1 //one-vertex graph is connected by definition else if not Connected (A[0..n-2, 0..n-2]) return 0 else for j 0 to n - 2 do if A[n 1, j] return 1 return 0 Does this algorithm work correctly for every undirected graph with n > 0 vertices? If you answer yes, indicate the algorithm's efficiency class in the worst case; if you answer no, explain why.

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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