👉 In mathematics, a hamiltonian cycle is a closed loop of a graph that visits every vertex exactly once. In other words, it's a path in the graph without any repeated edges and no self-loops. The term "hamiton" was coined by the French mathematician Augustin Cauchy in 1824 as he was studying the geometry of graphs. The concept of hamiltonian cycle is fundamental to the theory of planar graphs and is one of the most studied