Output For each graph, produce a line listing the weak vertices ordered from least to greatest. Sample Input 1 9 0 1 1 1 0 0 0 0 0 100000100 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 001100000 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 10 1 0 -1 Sample Output 1 18 0

Output For each graph, produce a line listing the weak vertices ordered from least to greatest. Sample Input 1 9 0 1 1 1 0 0 0 0 0 100000100 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 001100000 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 10 1 0 -1 Sample Output 1 18 0

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

Code in Java Thank You.

Engineers like to use triangles. It probably has something to do with how a triangle can provide a lot of structural strength.

Output
For each graph, produce a line listing the weak vertices ordered from least to
greatest.
Sample Input 1
9
0 1 1 1 0 0 0 0 0
1 0 0 0 0 0 1 0 0
1 0 0 1 0 1 0 0 0
1 0 1 0 0 1 1 0 0
0 0 0 0 0 0 1 1 0
000000110
0 0 1 1 0 0 0 0 0
0 1 0 1 1 0 0 1 0
0 0 0 0 1 0 1 0 1
0 0 0 0 0 0 0 1 0
1
0
-1
Sample Output 1
18
0
↓

Problem A
Weak Vertices
<Hide
Engineers like to use triangles. It probably has something to do with how a
triangle can provide a lot of structural strength. We can describe the physical
structure of some designs using an undirected graph. We'll say vertex i is part of a
triangle if i has two different neighbors j and k such that j and k are neighbors of
each other. For this problem, find weak vertices in graphs - those vertices that is
not part of any triangle.
A
Figure 1: An illustration of the weak vertices (which are shaded) from the sample input graph.
Input
Input consists of up to 100 graphs. Each starts with an integer, 1 ≤ n ≤ 20,
giving the number of vertices in the graph. Next come n lines with n integers on
each line, which describe an n x n adjacency matrix for the graph. Vertices are
numbered from 0 to n - 1. If the adjacency matrix contains a one at row r,
column c (where 0 ≤r, c≤ n − 1), it means that there is an edge from vertex r
to vertex c. Since the graph is undirected, the adjacency matrix is symmetric. The
end of input is marked by a value of -1 for n.

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