The Nearest Neighbor Algorithm NNA Explained with an Example | Graph Theory Basics #graphtheory

In this video, I walk you through the Nearest Neighbor Algorithm (NNA), a popular method used in Graph Theory for solving problems like the Traveling Salesman Problem. This algorithm helps find a path that visits all vertices in a graph with the shortest possible distance, based on edge weights.

Here's a quick breakdown of the steps covered in the tutorial:

1. Select a starting point: We choose any vertex in the graph to begin our journey.
2. Move to the nearest unvisited vertex: From the current vertex, we move to the next vertex connected by the edge with the smallest weight.
3. Repeat until the circuit is complete: We continue visiting the nearest unvisited vertex until all vertices are visited, completing the circuit.

By the end of this video, you'll understand how to apply the Nearest Neighbor Algorithm to various graph-based problems. Be sure to follow along, and let me know if you have any questions in the comments below!

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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Original text from Math in Society by David Lippman.