On the hamiltonian index
Web1 de mar. de 1988 · For simple connected graphs that are neither paths nor cycles, we define h(G) = min{m: L m (G) is Hamiltonian} and l(G) = max{m: G has an arc of lengthm that is not both of length 2 and in aK 3}, where an arc in G is a path in G whose internal … Webintroduced the hamiltonian index of a graph, denoted by h(G), i.e., the minimum number n such that L n (G) is hamiltonian. Here the n-iterated line graph of a graph G is defined
On the hamiltonian index
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WebFitting the Simulated Results . Using the scipy package, the fitting functions below will fit the Hamiltonian tomography data, Pauli expectations of the target qubit $\langle X(t) \rangle, \langle Y(t) \rangle, \langle Z(t) \rangle$, for the control prepared in either the ground or excited state. Note that we must use a trick to concatenate all the data into a single array … Web17 de nov. de 2013 · Abstract. This article is intended as a survey, updating earlier surveys in the area. For completeness of the presentation of both particular questions and the …
Web20 de set. de 2024 · Hamiltonian index is NP-complete, Discrete Math, 2011, 159(4): 246–250. Article MathSciNet Google Scholar M L Saražin. A simple upper bound for the hamiltonian index of a graph, Discrete Math, 1994, 134(1–3): 85–91. Article MathSciNet Google Scholar H J Veldman. Webrigorously deflne the Hamiltonian and derive Hamilton’s equations, which are the equations that take the place of Newton’s laws and the Euler-Lagrange equations. In Section 15.3 we’ll discuss the Legendre transform, which is what connects the Hamiltonian to the Lagrangian. In Section 15.4 we’ll give three more derivations of
Webwith these properties may be written using Pauli matrices as H= Xn i=1 H i= Xn i=1 X3 a=0 X3 b=1 ci ab σ i a σ i+1 b (2.1) with 12nreal parameters ci ab, where a= 0,1,2,3 and b= 1,2,3.Denote this space of local Hamil-tonians LH⊂Herm(H), with real dimension dim(LH) = 12n.Equivalently, LHis the vector space spanned by local operators of range k= 2.The … WebIn recent years, the Morse Index has been extensively used by many scientists. In order to study the convex Hamiltonian systems Ekeland used a Dual form of the least action …
WebSufficient conditions on the degrees of a graph are given in order that its line graph have a hamiltonian cycle. Citing Literature. ... Přemysl Holub, Liming Xiong, On distance local connectivity and the hamiltonian index, Discrete Mathematics, 10.1016/j.disc.2008.07.010, 309, 9, (2798-2807), (2009).
WebHamiltonian (27.27%) In recent papers he was focusing on the following fields of study: Philip J. Morrison mainly focuses on Classical mechanics, Magnetohydrodynamics, Hamiltonian, Poisson bracket and Casimir effect. In general Classical mechanics, his work in Variational principle is often linked to Hamiltonian linking many areas of study. open fiber wikipediaWeb1 de abr. de 2024 · For a hamiltonian property P, Clark and Wormold introduced the problem of investigating the value P ( a, b) = max { min { n: L n ( G) has property P }: κ ′ ( G) ≥ a and δ ( G) ≥ b }, and proposed a few problems to determine P ( a, b) with b ≥ a ≥ 4 when P is being hamiltonian, edge-hamiltonian and hamiltonian-connected. iowa spirit squad rosterWebinvolving the Wiener index and distance spectral radius for a graph to be Hamiltonian and traceable have been given in [4–6,10]. In Sections2–3, we give su cient conditions for a graph to be traceable and Hamiltonian in terms of the Wiener index and the complement of the graph, which correct and extend the result of Yang [10]. open fibre italyWeb6 de jan. de 2009 · Define is called the Hamiltonian index of . A relationship between a -Circuit and Hamiltonian line graph was given by Harary and Nash-Williams [7]. Theorem … open fibre networksWeb1 de jan. de 2007 · In order to derive and validate the effective Hamiltonian that describes this system, we study the stationary states of a particle confined in the four-well potential. In particular, we calculate the energies and the corresponding wave functions for the ground state and for the three lowest excited states. open fidelity bank account onlineWeb28 de dez. de 2024 · On traceable iterated line graph and hamiltonian path index. Zhaohong Nou, Liming Xiong, Weihua Yang. Xiong and Liu [L. Xiong and Z. Liu, Hamiltonian iterated line graphs, Discrete Math. 256 (2002) 407-422] gave a characterization of the graphs for which the -th iterated line graph is hamiltonian, for . In … open fidelity 401k accountWeb1 de jun. de 2005 · The hamiltonian index of a graph G is the smallest integer k such that the k -th iterated line graph of G is hamiltonian. We first show that, with one exceptional case, adding an edge to a graph cannot increase its hamiltonian index. open fidelity business brokerage account