On the hamiltonian index
Web20 de dez. de 1990 · This paper introduces a Maslov-type index theory for paths in the symplectic groups, especially for the degenerate paths via rotational perturbation method, therefore gives a full classification of the linear Hamiltonian systems with continuous, periodic, and symmetric coefficients. WebFor a Hamiltonian system, in which the Hamiltonian is assumed to have an asymptotically linear gradient, the existence of nontrivial periodic solutions is proved under the assumption that the linearized operators have distinct Maslov indices at 0 and at infinity. Both the linearized operators may be degenerate. In particular, the results cover the “strong …
On the hamiltonian index
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Web6 de jan. de 2009 · The Hamiltonian index of a graph is defined as In this paper, using the reduction method of Catlin [P.A. Catlin, A reduction method to find spanning Eulerian subgraphs, J. Graph Theory 12 (1988) 29–44], we constructed a graph and prove that if , then 1. Introduction We follow Bondy and Murty [1] for basic terminologies and notations. Webinvolving 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].
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 … Web8 de jun. de 2024 · In this report, the Hamilton Center on Industrial Strategy at the Information Technology and Innovation Foundation (ITIF) examines national changes in …
Web4 de nov. de 2024 · Index theory revealed its outstanding role in the study of periodic orbits of Hamiltonian systems and the dynamical consequences of this theory are enormous. Although the index theory in the periodic case is well-established, very few results are known in the case of homoclinic orbits of Hamiltonian systems. Web9 de jan. 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 NP-hard for any fixed …
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 …
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 great wolf lodge grapevine tx websiteWeb17 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 … florida window noaWeb15 de abr. de 2024 · Keywords: Hamiltonian Index, Supereulerian Graphs, Iterated Line Graphs, Parameterized Complexity, Fixed-Parameter Tractability, Eulerian Steiner Subgraphs. Suggested Citation: Suggested Citation. Philip, Geevarghese and M R, RANI and R, Subashini, On Computing the Hamiltonian Index of Graphs ⋆. great wolf lodge grapevine tx vacation dealsWebFitting 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 … great wolf lodge great frontier loft condoWeb1 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. We use this result to prove that neither the contraction of an AG(F)‐contractible subgraph F of a graph G … great wolf lodge great lakes ilWebrigorously 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 florida window and door ownerWeb15 de abr. de 2024 · Keywords: Hamiltonian Index, Supereulerian Graphs, Iterated Line Graphs, Parameterized Complexity, Fixed-Parameter Tractability, Eulerian Steiner … great wolf lodge grapevine tx discounts