site stats

On the hamiltonian index

Web1 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. Web10 de abr. de 2016 · Hamiltonianism: [noun] the political principles and ideas held by or associated with Alexander Hamilton that center around a belief in a strong central …

WIENER INDEX ON TRACEABLE AND HAMILTONIAN GRAPHS

Web24 de mar. de 2024 · There are several definitions of "almost Hamiltonian" in use. As defined by Punnim et al. (2007), an almost Hamiltonian graph is a graph on n nodes … Web28 de out. de 2008 · For a simple connected graph that is not a path, a cycle or a K-1,K-3 and an integer s >= 0, we define h (s) (G) = min {m : L-m (G) is s-Hamiltonian and I (G) … canal city hakata เดินทาง https://amadeus-templeton.com

On traceable iterated line graph and hamiltonian path index

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 principle, Morse theory an 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. fisher pen refill running out

Recent Advances on the Hamiltonian Problem: Survey III

Category:Recent Advances on the Hamiltonian Problem: Survey III

Tags:On the hamiltonian index

On the hamiltonian index

On the Morse–Ekeland Index and Hamiltonian Oscillations

Web15 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 … Web22 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 …

On the hamiltonian index

Did you know?

WebTwo 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 ... WebIn 1973, Chartrand [2] introduced the hamiltonian index of a connected graph G that is not a path to be the minimum number of applications of the line graph operator so that the resulting graph is hamiltonian. He showed that the hamiltonian index exists as a finite number. In 1983, Clark and Wormald [3] extended this idea of Chartrand and

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 \ … 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 …

Web15 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 … Web15 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 ⋆.

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 …

WebSemantic Scholar extracted view of "The Hamiltonian index of graphs" by Yi Hong et al. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 206,285,031 papers from all fields of science. Search. Sign In Create Free Account. can alcohol abuse cause blood in urineWeb1 de jan. de 1981 · The hamiltonian index h (G) of a graph G is the smallest non-negatie integer n such that L" (G) is hamiltonian. In [1] it was shown that if (is a connected … can alcohol abuse cause hivesWebHamiltonian (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. can alcohol abuse cause pancreatitisWeb28 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, … can alcohol abuse cause shortness of breathWebHamiltonian in terms of the Wiener index and the complement of the graph, which correct and extend the result of Yang [10]. In Section4, we present su cient conditions for a … can alcohol abuse lead to diabetesWeb9 de jan. de 2024 · The Hamiltonian Index of graphs has since received a lot of attention from graph theorists, and a number of interesting results, especially on upper and lower … can alcohol abuse lead to seizuresWeb1 de mar. de 1998 · The hamiltonian index of a graph and its branch-bonds Liming Xiong, H. Broersma, Xueliang Li, Mingchu Li Mathematics Discret. Math. 2004 23 PDF Save … can alcohol abuse cause kidney failure