### Problem 1Consider the following algorithm to checkconnectivity of a graph defined by its adjacencymatrix.сррAlgorithm Connected (A[0..n-1, 0..n-1]) {//Input: Adjacency matrix A of an undirectedgraph G7/Output: 1 (true) if G is connected and 0(false) if it is notif n1 return 1; // //one-vertex graph is==connected by definitionelse {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 everyundirected graph with `n` vertices? If you answerYES, indicate the algorithm's efficiency class inthe worst case.If you answer NO, provide a counterexample.#### Answer:Here Algorithms in pseudo code **MUST** be placed incode blocks/fences, and use `cpp` as the syntaxhighlighter.Algorithms should follow the pseudo code standarddescribed in *Pseudocode Handout*.- Do NOT change the template except the answerportion.- Formulas and equations should be in math modeusing Latex math symbols.Markdown math tutorial:http://tug.ctan.org/info/undergradmath/undergradmath.pdfTwo ways to enter math mode:Insert a pair of dollar signs: \$yourequations go here\$. This is the inline math mode.*Notice that there is no space between the \$ andthe letter*.Insert a pair of double-dollar signs: \$\$your equations go here \$\$, which produces astandalone equation/formula set.

Note- As per the Bartleby process we have to attempt only one question. Functioning: The…

### Problem 1 Consider the following algorithm to check connectivity of a graph defined by its adjacency matrix. срр Algorithm Connected(A[0..n-1, 0..n-1]) { 7/Input: Adjacency matrix A 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 if A[n-1, j] return 1; } return 0; } } } 0 to n - 2 do {

### Problem 1 Consider the following algorithm to check connectivity of a graph defined by its adjacency matrix. срр Algorithm Connected(A[0..n-1, 0..n-1]) { 7/Input: Adjacency matrix A 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 if A[n-1, j] return 1; } return 0; } } } 0 to n - 2 do {

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

### Problem 1
Consider the following algorithm to check
connectivity of a graph defined by its adjacency
matrix.
срр
Algorithm Connected (A[0..n-1, 0..n-1]) {
//Input: Adjacency matrix A of an undirected
graph G
7/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` vertices? If you answer
YES, indicate the algorithm's efficiency class in
the worst case.
If you answer NO, provide a counter
example.
#### Answer:
Here

Algorithms in pseudo code **MUST** be placed in
code blocks/fences, and use `cpp` as the syntax
highlighter.
Algorithms should follow the pseudo code standard
described in *Pseudocode Handout*.
- Do NOT change the template except the answer
portion.
- Formulas and equations should be in math mode
using Latex math symbols.
Markdown math tutorial:
http://tug.ctan.org/info/undergradmath/undergradmat
h.pdf
Two ways to enter math mode:
Insert a pair of dollar signs: \$your
equations go here\$. This is the inline math mode.
*Notice that there is no space between the \$ and
the letter*.
Insert a pair of double-dollar signs: \$\$
your equations go here \$\$, which produces a
standalone equation/formula set.

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