Edge Coloring Quiz Online Practice Test

1. In graph theory, what term describes a collection of points and connecting lines?

Vertex

Edge

Graph

Map

2. What must be true for a graph to have a proper edge coloring?

No two adjacent vertices should share the same color

Adjacent vertices must always be the same color

No two incident edges can have the same color

All incident edges must be uniquely colored

3. What term describes the number of colors used in a proper edge coloring of a graph?

k-edge coloring

x-edge coloring

m-edge coloring

n-edge coloring

4. What does the term "chromatic index" refer to in graph theory?

The maximum number of colors needed for proper edge coloring of a graph

The maximum number of colors needed for proper vertex coloring of a graph

The minimum number of colors required for proper vertex coloring of a graph

The minimum number of colors needed for proper edge coloring of a graph

5. What is the chromatic index of an empty graph with n vertices?

6. If a line graph has a chromatic number of 4, what is the chromatic index of the original graph?

Not enough information

7. Determining the chromatic index of a graph falls into which category?

P problem

NP-hard problem

NP-complete problem

Unclassified by the given types

8. The chromatic number of a line graph is always equal to the chromatic index of its original graph. Is this statement:

True

False

Only true for specific types of graphs

Cannot be determined

9. Which term denotes the smallest number of colors needed to color the edges of a graph?

Independence number

Vertex chromatic number

Edge chromatic number

Domination number

10. In graph edge coloring, which edges must receive distinct colors?

All adjacent edges

Opposite pairs of edges

Just two edges

Only two adjacent edges

11. In the given pseudocode for solving the edge coloring problem of a graph, what should be filled in the blank?

Start traversing the graph using BFS traversal
Pick any vertex from the graph
Traverse one of its edges
Repeat until all edges of the graph are covered

Assign different colors to all the adjacent vertices

Delete all the connected edges

Assign a color to just one of its edges

Assign different colors to the connected edges and mark those edges as colored

12. Is it true that the number of colors needed to properly color the edges of a simple graph matches the graph’s highest degree?

Yes, it’s accurate

No, it’s not accurate

Only for specific types of graphs

The statement cannot be verified

13. Which of the following is classified as an NP-complete problem?

Graph Coloring

Identifying the largest element in an array

Identifying the smallest element in an array

Computing the power set

14. Which of these tasks utilizes graph coloring techniques?

Managing dynamic memory allocation

Scheduling exam timetables

Designing network structures

Detecting cycles in a graph

Test Name:	Edge Coloring Quiz
Subject Category:	Computer Science
Test Type:	Multiple Choice Questions
Total Score / Questions:	14 / 14
Time Allowed:	10 Min
Who Should Practice this Test:	Students, job seekers, or professionals preparing for competitive exams and interviews.

Edge Coloring MCQ Quiz Online Practice Test