Sample problem p1 Is this statement true or false. A bipartite graph Kn,m has (n

Question

Sample problem p1

Is this statement true or false. A bipartite graph Kn,m has (n*m) vertices and a maximum of
(n+m) edges.

Sample problem p2
The objective is to determine whether or not the graph below is bipartite. Explain how you come to your conclusion.

The Graph below is a 5 pointed figure.
Connect a to b,
Connect a to c and a to e.
Connect b to d.
Connect c to d.
Connect d to e.

(ingore the dots below just added for spacing)

...........b.................................................... e

a ..............................................................................d

..........................................c

Explanation / Answer

1)   A bipartite graph K(n,m) has (n*m) vertices and a maximum of
(n+m) edges.   

Statement is false. because

A bipartite graph K(n,m) has (n + m) vertices and a maximum of
(n*m) edges.

2)

Following is a simple algorithm to find out whether a given graph is Birpartite or not using Breadth First Search (BFS).
1. Assign RED color to the source vertex (putting into set U).
2. Color all the neighbors with BLUE color (putting into set V).
3. Color all neighbor

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