Reduction from Hamiltonian cycle to Hamiltonian path
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, …
discrete mathematics - Hamiltonian Paths and Cycles in Graphs ...
Jun 13, 2024 · Hamiltonian Paths and Cycles in Graphs Ask Question Asked 1 year, 7 months ago Modified 1 year, 7 months ago
discrete mathematics - What is the difference between a Hamiltonian ...
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 …
Understanding the reduction from Hamiltonian cycle to the traveling ...
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 …
Time-dependent unitary transformations of the Hamiltonian
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 implications of …
How many Hamiltonian cycles are there in a complete graph
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 …
Is the Hamiltonian always the total energy? - Physics Forums
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 …
Proof of Hamiltonian Cycle in a Complete Bipartite Graph
0 Other direction can be prove in following way. As noted any cycle in bipartite graph will be of even length, and will alternate between the vertices of partite-sets. That means any Hamiltonian cycle in …
Does every regular, bipartite graph contain a Hamiltonian path?
Jul 28, 2020 · Given a r r -regular, k k -edge-connected, bipartite graph, will there always be a Hamiltonian path in it (for r ≥ 2 r ≥ 2 and k ≥ 2 k ≥ 2)? I.e., is the graph traceable? I am aware of …
Hamiltonian of a particle in a magnetic field - Physics Forums
Feb 4, 2022 · Now the author in Chapter 3 introduces the Hamiltonian operator as "The eigenvalues of the Hamiltonian are the allowed energies of the quantum system, and the eigenstates of are the …