References and Further Readings

Textbooks and Course Materials 📚

1. Rosen, K. H. (2019). Discrete Mathematics and Its Applications (8th ed.). McGraw-Hill Education.

   • Chapter 10: Graphs
   • Chapter 10.5: Euler and Hamilton Paths

2. Lecture Notes on Discrete Mathematics

   • IIT Kanpur Course Materials
   • Sections on Graph Theory and Graph Cycles

3. Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2009). Introduction to Algorithms (3rd ed.). MIT Press.

   • Chapter 34: NP-Completeness
   • Section on Hamiltonian Cycles and TSP

Online Learning Resources 🌐

1. Euler and Hamiltonian Paths

   • Simon Fraser University
   • Comprehensive explanation with examples

2. GeeksforGeeks Articles:

   • Eulerian Path and Circuit
   • Hamiltonian Cycle
   • Traveling Salesman Problem

3. Wikipedia Articles:

   • Hamiltonian path
   • Eulerian path
   • Travelling salesman problem

Video Lectures 🎥

1. NPTEL Courses:

   • Graph Theory
   • Lectures 15-17: Euler Tours and Hamilton Cycles

2. MIT OpenCourseWare:

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

Interactive Learning Tools 🔧

1. Brilliant.org:

   • Graph Theory Fundamentals
   • Algorithm Fundamentals

2. VisuAlgo:

   • Graph Algorithms Visualization
   • Interactive demonstrations of graph traversal

Research Papers and Advanced Reading 📄

1. Held, M., & Karp, R. M. (1970). The traveling-salesman problem and minimum spanning trees. Operations Research, 18(6), 1138-1162.

   • Classical paper on TSP algorithms

2. Skiena, S. S. (2020). The Algorithm Design Manual (3rd ed.). Springer.

   • Chapter 16: Graph Problems: Hard Problems
   • Section 16.5: Hamiltonian Cycles

Additional Resources 📌

1. Khan Academy:

   • Graph Theory Basics
   • Algorithms Course

2. Practice Problems:

   • Project Euler - Problems related to graph theory
   • USACO Guide - Graph traversal problems