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en.wikipedia.org/wiki/Hamiltonian_path

In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once.

mathworld.wolfram.com/HamiltonianCycle.html

A Hamiltonian cycle, also called a Hamiltonian circuit, Hamilton cycle, or Hamilton circuit, is a graph cycle (i.e., closed loop) through a graph that visits each node ...

mathspace.co/learn/world-of-maths/networks/hamiltonian-paths-and-circuits-18715/hamiltonian-paths-and-circuits-1280

When we looked at Euler Paths (trails) and Euler circuits, we were focused on using each of the edges just once. Another way to look at networks is to consider  ...

www.ctl.ua.edu/math103/hamilton/analyzin.htm

Unfortunately, there are no counterparts to Euler's theorems that tell us, in general, whether or not a graph has a Hamilton Circuit. Example 1: Find both an Euler ...

www.geeksforgeeks.org/backtracking-set-7-hamiltonian-cycle

Hamiltonian Path in an undirected graph is a path that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a Hamiltonian Path such ...