
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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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](https://content.bartleby.com/qna-images/question/b4fac401-f688-4a8e-b637-a2500ce6ac46/0a9770a4-6083-4c06-83f0-096b0750784b/6mn2yyo_thumbnail.jpeg)
Transcribed Image Text:### 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

Transcribed Image Text: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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