References and Further Readings

Textbooks

1. Kenneth H. Rosen, "Discrete Mathematics and Its Applications," 8th Edition, McGraw Hill Education, 2018.

   • Chapter 10: Graph Theory
   • Section 10.8: Graph Coloring

2. Douglas B. West, "Introduction to Graph Theory," 2nd Edition, Pearson, 2000.

   • Chapter 5: Coloring of Graphs
   • Sections 5.1-5.3: Vertex Coloring, Edge Coloring, and Applications

3. Narsingh Deo, "Graph Theory with Applications to Engineering and Computer Science," Dover Publications, 2016.

   • Chapter 8: Graph Coloring and Applications

Online Resources and Tutorials

1. GeeksforGeeks - Graph Coloring Resources:

   • Graph Coloring Introduction
   • Graph Coloring Algorithms
   • Applications of Graph Coloring

2. Brilliant.org:

   • Graph Theory Concepts
   • Graph Coloring Problems

3. Wikipedia Articles:

   • Graph Coloring
   • Vertex Coloring
   • Edge Coloring
   • Chromatic Number

Video Lectures

1. NPTEL Courses:

   • Graph Theory by Prof. L. Sunil Chandran
   • Lecture 31-33: Graph Coloring and Its Applications

2. MIT OpenCourseWare:

   • Mathematics for Computer Science
   • Lecture 6: Graph Theory and Coloring

Research Papers and Advanced Reading

1. D. Marx, "Graph Colouring Problems and Their Applications in Scheduling," Periodica Polytechnica Electrical Engineering, 48(1-2), pp. 11-16, 2004.

2. F.T. Leighton, "A Graph Coloring Algorithm for Large Scheduling Problems," Journal of Research of the National Bureau of Standards, 84(6), pp. 489-506, 1979.

Interactive Learning Tools

1. Visualgo:

   • Graph Algorithms Visualization

2. Graph Online:

   • Online Graph Editor and Analysis
   • Features graph coloring visualization and algorithms

Additional Resources

1. Practice Problems:

   • Project Euler - Graph Theory Problems
   • UVa Online Judge - Graph Coloring Problems

2. Software Tools:

   • Sage Math - Graph Theory Package
   • NetworkX - Python Library for Graph Theory