On the hamiltonian index
Web28 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 … Web28 de dez. de 2024 · In this paper, we study the existence of a hamiltonian path in L(G), and give a characterization of G for which L(G) has a hamiltonian path. As applications, …
On the hamiltonian index
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Web23 de jul. de 2024 · In analyzing Hamiltonian cycles in a line graph, it is useful to begin by looking at paths. If ef is an edge in L ( G ), then by definition, there are three vertices u, v, and w in G with e = uv and f = vw (and u ≠ w) so that v is the common vertex of e and f. 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 …
WebDOI: 10.1016/0012-365X(94)P2679-9 Corpus ID: 33997541; A simple upper bound for the hamiltonian index of a graph @article{Sarazin1994ASU, title={A simple upper bound for the hamiltonian index of a graph}, author={Marko Lovrecic Sarazin}, journal={Discret. WebHamiltonian systems (last but not least to fix the notations). The 1\Iaslov index for closed curves as well as arcs in Sp(n, R) is discussed. This index will be used in chapters 5 and 8. Chapter 2 contains a more detailed account of symplectic manifolds start ing with a proof of the Darboux theorem saying that there
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). Web22 de jun. de 2024 · The Hamiltonian Index \ (h (G)\) of \ (G\) is the smallest \ (r\) such that \ (L^ {r} (G)\) has a Hamiltonian cycle [Chartrand, 1968]. Checking if \ (h (G) = k\) is \ …
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
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 chums gents clothingWeb15 de nov. de 1993 · Abstract. It was claimed by Gould (1981) that if G is a connected graph of order at least 3 such that no bridge is incident to a vertex of degree 2 and … detailed coloring pages for adults animalsWeb22 de jun. de 2024 · The Hamiltonian Index \(h(G)\) of a graph \(G\) is a generalization of the notion of Hamiltonicity. It was introduced by Chartrand in 1968, and has received a … detailed.comWebTwo inline nested for loops are used to construct the indexes matrix MM. The inline Tl function together with the hh function defines the piecewise Kinect operator. The sum over all the cosines is given by the HH matrix. As in the case of the index matrix, the HH can be reused if the number of points of the grid doesn't change. 4) Semiconductor ... detailed coloring pages for adults skullWebinvolving 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]. detailed connect the dotsWeb15 de nov. de 1993 · On the Hamiltonian index of a graph. Mathematics of computing. Discrete mathematics. Graph theory. Comments. Login options. Check if you have … detailed composition of milk and colostrumWebwith 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 … detailed coloring pages disney