Bipartite Graph Quiz Online Practice Test

1. For a bipartite graph G with bipartitions U and V, what is the relationship between U and V?

The number of vertices in U equals the number of vertices in V

The sum of the degrees of vertices in U equals the sum of the degrees of vertices in V

The number of vertices in U is greater than the number of vertices in V

No definitive relationship can be established

2. In a k-regular bipartite graph where each vertex has a degree of k, and with bipartitions U and V, what is the relationship between the two partitions?

Number of vertices in U=Number of vertices in V

Number of vertices in U not equal to number of vertices in V

Number of vertices in U always greater than the number of vertices in V

Nothing can be said

3. Which student is correct?

4. In a complete bipartite graph where every vertex in set X is connected to every vertex in set Y, and the total number of vertices is n, what is the optimal number of vertices that should be in set X to maximize the number of edges?

n/2

n/4

data insufficient

5. Under what condition is a graph considered bipartite?

If it can be divided into two independent sets A and B such that each edge connects a vertex from to A to B

If the graph is connected and it has odd number of vertices

If the graph is disconnected

If the graph has at least n/2 vertices whose degree is greater than n/2

6. Are trees considered bipartite?

Yes

Yes, provided the number of vertices is even

No, if the number of vertices is odd

7. For a bipartite graph with 20 vertices, what is the maximum number of edges it can have?

100

140

8. If a graph contains no odd cycles, can we definitively conclude that it is bipartite?

Yes, it is bipartite

No, it may not be bipartite

It is bipartite only if it is also connected

It cannot be determined without additional information

9. Is it possible for a graph to be both Eulerian and bipartite?

Yes

Yes, provided it has an even number of edges

It cannot be determined without additional information

10. If a graph is 2 colorable, what can be concluded about it?

The graph is Eulerian

The graph is bipartite

The graph is Hamiltonian

The graph is planar

Test Name:	Bipartite Graph Quiz
Subject Category:	Computer Science
Test Type:	Multiple Choice Questions
Total Score / Questions:	10 / 10
Time Allowed:	10 Min
Who Should Practice this Test:	Students, job seekers, or professionals preparing for competitive exams and interviews.

Bipartite Graph MCQ Quiz Online Practice Test