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 …

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 …

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.

Sep 1, 2017 · The energy operator and the Hamiltonian operator are distinct entities in quantum mechanics. The discussion clarifies that while both operators can act on wave functions, they …

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 …

Jul 17, 2011 · To prove: Commutator of the Hamiltonian with Position: i have been trying to solve, but i am getting a factor of 2 in the denominator carried from...

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 $2$ …

Sep 23, 2018 · Hamiltonian path is a graph where every vertex is visited exactly once. And a tree can be anything, like a BST. I think that this answer is no because in a BST, it could find an …

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.