Hamiltonian Cycle Problem using Backtracking | Design & Analysis of Algorithms (DAA)
In this video, we dive deep into the Hamiltonian Cycle Problem and learn how to solve it using the Backtracking Approach.
This is a fundamental topic in the Design and Analysis of Algorithms (DAA).What you will learn in this video:
✅ Definition: What is a Hamiltonian Cycle and how does it differ from other graph paths? [00:09]
✅ Examples: Visual walk-through of graphs with and without Hamiltonian cycles. [00:30]
✅ Backtracking Strategy: How to use the State Space Tree to find solutions. [03:54]
✅ Step-by-Step Example: Solving a 6-vertex graph using backtracking. [06:59]
✅ Algorithm Implementation: A detailed look at the Hamiltonian and NextValue functions. [17:29]
✅ Complexity Analysis: Why the time complexity is exponential. [20:45]
Key Concepts Covered:
Articulation points in graphs [02:15]
Constructing a State Space Tree [04:07]
Bounding functions to prune the search space [17:14]
Directed vs. Undirected graph considerations [03:46]
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