Challenge 001 - Ooh la la, flags are everywhere
Undirected Graphs
Some problems
- Path
- Shortest path
- Cycle
- Ehler tour: A cycle that uses each edge exactly once.
- Hamilton tour: A cycle that uses each vertex exactly once
- classical NP-complete problem.
- Connectivity
- MST:
- Biconnectivity: A vertex whose removal disconnects the graph
- Planarity
- Graph isomorphism: Are two graphs identical?
- No one knows so far. A longstanding open problem
Example
You can think of files like nodes and folders like edges. What is the shortest path to a file?
Can you decrypt me?
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