Hamiltonian Cycle Visualization
A Hamiltonian Cycle is a path in a graph that visits every node exactly once and returns to the starting node. It is closely related to Travelling Salesman Problem, where the goal is to find the shortest possible Hamiltonian cycle. Hamiltonian cycles are useful in routing, scheduling, and circuit design.
Common Interview Questions
What is the difference between an Eulerian Path and a Hamiltonian Path?
An Eulerian Path visits every EDGE in the graph exactly once (solvable in O(E) time). A Hamiltonian Path visits every VERTEX in the graph exactly once (an NP-complete problem with no known polynomial-time solution).
How does the Traveling Salesperson Problem (TSP) relate to the Hamiltonian Cycle?
The Hamiltonian Cycle problem asks if a cycle visiting every vertex once exists in an unweighted graph. TSP is the weighted optimization version: finding the Hamiltonian Cycle with the minimum total edge cost weight.
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