Path on graphs

Graphs are models that are easy to start, but takes enormous time to master. Research for a natural way of decoding information

Self avoiding walk

https://en.wikipedia.org/wiki/Self-avoiding_walk

Loop-erased random walk

Recall when writing you structure sentence and then erase it to come back to better format. Iteratively you come to the best way to deliver your thought.

How much you can say without repeating yourself?

https://en.wikipedia.org/wiki/Loop-erased_random_walk

Hamiltonian cycle

Self-avoiding walk

is a sequence of moves on a lattice (a lattice path) that does not visit the same point more than once.

https://en.wikipedia.org/wiki/Hamiltonian_path#:~:text=A%20Hamiltonian%20cycle%20(or%20Hamiltonian,cycle%20produces%20a%20Hamiltonian%20path.