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 …

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 …

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 …

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 …

Jun 23, 2020 · Hence $G - v$ contains a Hamiltonian cycle $C$. Since $d (v) \geq n - 2$, $v$ has at most one nonneighbor among $V (G) - v$, and hence $v$ must be adjacent to $2$ …

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 …

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 …

Feb 26, 2024 · It uses the fact that the problem of checking if a graph has a vertex cover of a given size is NP-complete, and it reduces the problem of vertex cover to the problem of …

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.