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 …

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 degree $3$ or more.

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 scenarios, such …

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.

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 …

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, …

Jan 1, 2026 · Minimum number of directed edges to contain every Hamiltonian cycle or its inverse [closed] Ask Question Asked 18 days ago Modified 18 days ago

Dec 22, 2014 · The traveling salesman problem is NP-complete. Proof First, we have to prove that TSP belongs to NP. If we want to check a tour for credibility, we check that the tour contains each vertex …

Sep 28, 2007 · The hamiltonian is a quantity which is conserved by a system if that system is invariant under a translation in time. If the system is composed of point particles described by cartesian …

Oct 20, 2013 · The discussion revolves around the construction of Hamiltonian matrices for optical applications, specifically addressing the off-diagonal elements in the Hamiltonian related to the …