mathematics, a Hamiltonian decomposition of a given graph is a partition of the edges of the graph into Hamiltonian cycles. Hamiltonian decompositions have been...

the edges traced "tail-to-head"). A Hamiltonian decomposition is an edge decomposition of a graph into Hamiltonian circuits. A Hamilton maze is a type...

to specify a Hamiltonian decomposition (a decomposition into Hamiltonian paths, then those edges also form a Hamiltonian Decomposition in H {\displaystyle...

2004.10.003. Paige, Chris; Van Loan, Charles (1981), "A Schur decomposition for Hamiltonian matrices", Linear Algebra and its Applications, 41: 11–32, doi:10...

authors Richard Arnowitt, Stanley Deser and Charles W. Misner) is a Hamiltonian formulation of general relativity that plays an important role in canonical...

connected (in which case it is a Hamiltonian cycle and this special case is the problem of Hamiltonian decomposition) but the general case remains open...

Hamiltonian simulation (also referred to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity...

In theoretical physics, Hamiltonian field theory is the field-theoretic analogue to classical Hamiltonian mechanics. It is a formalism in classical field...

. The Folkman graph has a Hamiltonian cycle, and more strongly a Hamiltonian decomposition into two Hamiltonian cycles. Like every bipartite graph...

polyhedral graph for which the medial graph has no Hamiltonian decomposition into two edge-disjoint Hamiltonian cycles. The medial graph of the Herschel graph...

field or rotation field. This decomposition does not exist for all vector fields and is not unique. The Helmholtz decomposition in three dimensions was first...

{q}{\lVert q\rVert }}.} Every nonzero quaternion has a unique polar decomposition q = ‖ q ‖ ⋅ U q , {\displaystyle q=\lVert q\rVert \cdot \mathbf {U}...

using the n-particle Hamiltonian H n {\displaystyle H_{n}} . It is rather troublesome, if at all possible, to construct the decomposition D {\displaystyle...

even number of Hamiltonian decompositions. It is an open conjecture whether all quartic Hamiltonian graphs have an even number of Hamiltonian circuits, or...

fully interacting electronic Hamiltonian, including long-range interactions. The basis of DMET is the Schmidt decomposition for quantum states, which shows...

have at most k edges. Another related problem is Hamiltonian decomposition, the problem of decomposing a regular graph of even degree Δ {\displaystyle...

problem, O P ( 3 5 ) {\displaystyle OP(3^{5})} . The problem of Hamiltonian decomposition of a complete graph K n {\displaystyle K_{n}} is another special...

1 edges. Some specific decomposition problems and similar problems that have been studied include: Arboricity, a decomposition into as few forests as...

conjecture refers to a general existence problem for periodic orbits of Hamiltonian or Reeb vector flows. More specifically, the conjecture claims that on...

Hamiltonian truncation is a numerical method used to study quantum field theories (QFTs) in d ≥ 2 {\displaystyle d\geq 2} spacetime dimensions. Hamiltonian...

symmetry group, and specifically, to the generators that commute with the Hamiltonian. Charges are often denoted by Q {\displaystyle Q} , and so the invariance...

well-covered graphs, factor-critical graphs, spectral graph theory, Hamiltonian decomposition, and dominating sets. She is retired from the Laboratory for Computer...

property that is held by all cards). decomposition See tree decomposition, path decomposition, or branch-decomposition. degenerate degeneracy A k-degenerate...

diagonalize Hamiltonians, with a corresponding transformation of the state function. Operator eigenvalues calculated with the diagonalized Hamiltonian on the...

In mathematics, the Hamiltonian cycle polynomial of an n×n-matrix is a polynomial in its entries, defined as ham ⁡ ( A ) = ∑ σ ∈ H n ∏ i = 1 n a i , σ...

eigenstates of the Hamiltonian operator comprises a vector space V for a representation of the symmetry group of the Hamiltonian, a "multiplet", best...

time-evolutions of fields are controlled by the Hamiltonian constraint. The identity of the Hamiltonian constraint is a major open question in quantum...

road), find a Hamiltonian cycle with the least weight. This is more general than the Hamiltonian path problem, which only asks if a Hamiltonian path (or cycle)...

development of analytical mechanics (which includes Lagrangian mechanics and Hamiltonian mechanics). These advances, made predominantly in the 18th and 19th centuries...

doing computations when a complicated Hamiltonian has a natural decomposition into a simple "free" Hamiltonian and a perturbation. Equations that apply...