Jan 1, 2026 · Minimum number of directed edges to contain every Hamiltonian cycle or its inverse [closed] Ask Question Asked 13 days ago Modified 12 days ago

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 …

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 …

Oct 5, 2010 · The discussion clarifies the distinction between Hamiltonian and Hermitian operators in quantum mechanics. A Hamiltonian is a specific operator that encodes the dynamics of a quantum …

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 exactly one of the …

Dec 22, 2014 · One way to prove this is to show that Hamiltonian cycle is reducible to TSP (given that the Hamiltonian cycle problem is NP-complete). Assume G = (V, E) G = (V, E) to be an instance of …

Just bringing in all related similar numbers of Hamiltonian circuits in complete graphs with possible intuitive interpretation of them: Total (non-distinct) Hamiltonian circuits in complete graph Kn K n is (n …

Oct 17, 2019 · The Hamiltonian is defined as the generator of time translations. This results in the Schrödinger (operator) equation: Where is the time-evolution operator, which maps the state at time …

Feb 4, 2022 · The discussion centers on the Hamiltonian operator in quantum mechanics, specifically for a spin 1/2 particle in a magnetic field. The Hamiltonian operator, denoted as , represents the total …

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, …