Correct nomenclature: Hamilton path, Hamilton's path or Hamiltonian path? What is the correct way?
Hamilton path, Hamilton's path or Hamiltonian path?
To be clear, I am referring to the correct way to name a graph such that there exists a single path (without repeated vertices) through all the vertices.

In Wikipedia it says "Hamiltonian path", whereas in an article I found "Hamilton path".
I have seen both Hamilton path (or Hamilton cycle) and Hamiltonian path (or Hamiltonian cycle). A graph, however, is always Hamiltonian (if it contains a Hamilton/Hamiltonian cycle). Consider for example the titles of two papers: Hamiltonian cycles in random regular graphs (Fenner &amp; Frieze) and Generating and counting Hamilton cycles in random regular graphs (Frieze, Jerrum, Molloy, Robinson &amp; Wormald). Alan Frieze apparently doesn't care too strongly about the issue.

However, I've never seen Hamilton's path or cycle.