Aug 18, 2020 · Hamiltonian path is a path in an undirected or directed graph that visits each vertex exactly once Hamiltonian cycle is a Hamiltonian path that is a cycle, and a cycle is closed trail in …

A Hamiltonian circuit (or cycle) visits every vertex exactly once before returning to its starting point. An Eulerian circuit visits every edge exactly once in the graph before returning to the starting point.

Oct 18, 2010 · I'm looking for an explanation on how reducing the Hamiltonian cycle problem to the Hamiltonian path's one (to proof that also the latter is NP-complete). I couldn't find any on the web, …

In case you need more clarification from user121270's comment: If the degree condition holds, the graph is Hamiltonian. But it's not necessarily the case that every Hamiltonian graph also satisfies the …

Jan 31, 2009 · Homework Statement Hi all. I am commuting the Hamiltonian (H = p 2 / (2m) + V (x)) with position. This is what I get: <br /> [H,x] = -\frac {i\hbar} {m}p, <br /> where p is the momentum …

Nov 24, 2019 · Hamiltonian cycle implies biconnected, which in turn implies that every node has degree at least two. Hamiltonian path implies connected and at most two nodes of degree one.

Dec 19, 2019 · Explore related questions graph-theory hamiltonian-path hamiltonicity See similar questions with these tags.

There are $\frac {n-1} {2}$ such consecutive pairs in the upper half of the circumference with $\frac {n-1} {2}$ edges connecting them each leading to unique edge disjoint Hamiltonian circuits.

Jan 14, 2022 · Here, there is no Hamiltonian cycle, and only $n-2$ pairs of non-adjacent vertices, each with degree sum $n-1$. Similarly, for the Hamiltonian path question, we can take a $K_ {n-1}$ …

Nov 16, 2017 · Hello, I am trying to "integrate into my understanding" the difference between Hamiltonian and Lagrangian mechanics. In a nutshell: If Lagrange did all the work and formulated L …