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.

Apr 29, 2016 · The Hamiltonian is not always equivalent to the total energy of a system in classical mechanics. While it is often identified with total energy, exceptions arise in specific …

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 …

Oct 5, 2010 · The discussion revolves around the distinction between Hamiltonian and Hermitian operators, focusing on their definitions, properties, and implications in quantum mechanics and …

Nov 3, 2025 · $G$ has a vertex of degree $0$ or $1$ (in which case, the same is true of the subdivision - but a Hamiltonian graph must have minimum degree $2$); $G$ has a vertex of …

This is trivially Hamiltonian in that there is a zero length path that visits the vertex. [1] Part 3: If m = 1 xor n = 1, the graph is not Hamiltonian All Hamiltonian graphs are biconnected. [2] If …

Oct 17, 2019 · The discussion revolves around the transformation of the Hamiltonian operator under time-dependent changes of basis in quantum mechanics. Participants explore the …

May 11, 2020 · You seem to want a Hamiltonian cycle. Details of paths, cycles, trails, walks, et c. depend on one's definitions. Hamiltonian path : "A Hamiltonian cycle (or Hamiltonian circuit) is …

May 14, 2022 · The discussion revolves around the separability of the Hamiltonian in the context of a central potential problem in quantum mechanics. Participants explore how to express the …

Aug 13, 2014 · The discussion clarifies the fundamental differences between Hamiltonian and Lagrangian mechanics. The Lagrangian formulation focuses on the principle of least action, …