1. Graph and Adjacency matrix of its
A graph A graph An adjacency matrices of and are respectively A graph A graph An adjacency matrices of and are respectively 
2. Largest eigenvalue of a clique with n vertices is n1
A clique with vertices is Adjacency matrix of a graph is The largest eigenvalue of a clique with 8 vertices is 7 A clique with vertices is Adjacency matrix of a graph is The largest eigenvalue of a clique with 8 vertices is 7 
3.a Here is a graph of order n such that every degree of vertices is k. Where k is even.
Then largest eigenvalue equal to k
Adjacency matrix of a graph is The largest eigenvalue of a graph is 4 Adjacency matrix of a graph is The largest eigenvalue of a graph is 4 
3.b Here is a graph of order n such that every degree of vertices is k. Where k is odd and n is even.
Then largest eigenvalue equal to k
Adjacency matrix of a graph is The largest eigenvalue of a graph is 5 Adjacency matrix of a graph is The largest eigenvalue of a graph is 5 
