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 …

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 …

Jul 17, 2011 · Deriving the Hamiltonian of a system given the Lagrangian Jan 4, 2024 Replies 2 Views 1K Diagonalizing of Hamiltonian of electron and positron system Dec 10, 2021 Replies …

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 …

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 …

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.

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 …

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 …

Apr 29, 2016 · The point of a Hamiltonian isn't to tell us about energy, the point is that a Hamiltonian is a function you can stick into a Poisson bracket to generate equations of motion …

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.