How do we solve this problem in Java language? Thank you! 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. 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×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. Output For each graph, produce a line listing the weak vertices ordered from least to greatest.
How do we solve this problem in Java language? Thank you! 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. 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×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. Output For each graph, produce a line listing the weak vertices ordered from least to greatest.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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How do we solve this problem in Java language? Thank you!
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.
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×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.
Output
For each graph, produce a line listing the weak vertices ordered from least to greatest.
Transcribed Image Text:Sample Input 1
Sample Output 1
9.
1 8
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 10 0 1 1 0 0
0 0 0 0 0 0 1 1 0
0 0 1 1 0 0 0 0 0
0 1 0 1 1 0 0 1 0
0 0 0 0
1 0 10 1
0 0 0 0 0 0 0 1 0
1
-1
Transcribed Image Text:Figure 1: An illustration of the weak vertices (which are shaded) from the sample input graph.
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