Generalized connectivity
WebFeb 28, 1999 · Introduction The generalized connectivity or f-connectivity of a graph G, was first introduced in 1984 by Chartrand et al. [2] by generalising the concept of the connectivity of a graph. For #~>2, the #-connectiviO, K/(G) of a graph G of order p>~{- 1 is defined as the minimum number of verticesthat are required to be deleted from G to … WebApr 13, 2024 · The generalized Hessian operator \textrm {H}^ { (\nabla ,g)} (\xi ) is more interesting if the vector field \xi is closed. It is attached to a pair (\nabla ,g) of an affine connection and a (pseudo-)Riemannian metric and differs from the Hessian of a vector field, which is a (1, 2)-tensor field defined by means of an affine connection \nabla as.
Generalized connectivity
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WebIn this article, we propose a new generalized matrix response regression model, where the observed network is treated as a matrix-valued response and the subject covariates as … WebFor an integerl ≥ 2, thel-connectivity of a graphG is the minimum number of vertices whose removal fromG produces a disconnected graph with at leastl components or a graph with fewer thanl vertices. A graphG is (n, l)-connected if itsl-connectivity is at leastn. Several sufficient conditions for a graph to be (n, l)-connected are established.IfS is a set ofl(≥ 3) …
WebBoth theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. Topics covered in this book include: generalized (edge-) connectivity of graph classes, algorithms, computational complexity, sharp bounds, Nordhaus-Gaddum-type … SpringerBriefs present concise summaries of cutting-edge research and practical … By Proposition 4.2.4, Li, Mao, and Sun also considered the generalized 3 … The generalized edge-connectivity is related to two important problems. For a … As it is well known, for any graph G, we have polynomial-time algorithms to get … From Theorem 1.4.1, we know that there exist \(\frac{n-1} {2}\) edge-disjoint … The Harary graph H n, d is constructed by arranging the n vertices in a circular …
WebApr 15, 2024 · The generalized connectivity of a graph is a natural generalization of the connectivity and can serve for measuring the capability of a network G to connect any k vertices in G. Given a graph G=(V ... WebThe meaning of GENERALIZE is to give a general form to. How to use generalize in a sentence.
WebDec 31, 2024 · The generalized k-connectivity is a generalization of traditional connectivity. In this paper, we focus on the alternating group graphsand ( n , k ) -star graphs, denoted by A G n and S n , k , respectively.
WebDec 5, 2024 · The Generalized Connectivity Maintenance (GCM) theory already provides a way to represent and consider the aforementioned constraints, but previous works only find solutions via locally-steering functions that do not provide global and optimal solutions. In this work, we merge the GCM theory with randomized path-planning approaches, and … riverton general hospital seattleWebOct 20, 2024 · The generalized 2-connectivity is exactly the traditional connectivity. Li and Li [ 3 ] derived that it is NP-complete for a general graph G to decide whether there are k internally disjoint trees connecting S , where k is a fixed integer and S ⊆ V ( G ) . smoking can increase your risk of belly fatWebFeb 19, 2024 · We propose a generalized boomerang connectivity table (GBCT). The GBCT, which can be viewed as a generalized version of BCT, receives four distinct differences as input to determine the number of quartets that meet these four differences. Additionally, we study the cryptographic properties of GBCT and give some variants of … riverton gem and mineral societyWebApr 11, 2024 · This paper focuses on tracing the connectivity of white matter fascicles (WMF) in the brain. In particular, a generalized order algorithm based on mix ... a generalized order algorithm based on mixture of non-central Wishart distribution (GMoNCW) model is proposed for this purpose. The proposed algorithm utilizes the … smoking cancerWebGeneralization definition, the act or process of generalizing. See more. smoking cancer research ukWebSep 18, 2015 · The generalized k-connectivity \(\kappa _k(G)\) of a graph G was introduced by Chartrand et al. in (Bull Bombay Math Colloq 2:1–6, 1984), which is a nice generalization of the classical connectivity.Recently, as a natural counterpart, Li et al. proposed the concept of generalized edge-connectivity for a graph. In this paper, we … smoking cannabis side effects nhsWebJul 8, 2012 · The generalized -connectivity of a graph was introduced by Hager before 1985. As its a natural counterpart, we introduced the concept of generalized edge … riverton gas stations