Generalized connectivity

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August undefined, 2024

WebJan 4, 2024 · The restricted connectivity of the generalized hypercube is obtained by Guo et al. [12]. The H-structure and H-substructure connectivity of the generalized hypercube have been investigated by Wang et al. [31]. And then, they proposed a new interconnection network, the exchanged generalized hypercube EGH [32], using the … WebThe meaning of GENERALIZATION is the act or process of generalizing. How to use generalization in a sentence.

Generalized Definition & Meaning - Merriam-Webster

WebSep 22, 2015 · Connectedness is a fundamental property of objects and systems. It is usually viewed as inherently topological, and hence treated as derived property of sets in (generalized) topological spaces. There have been several independent attempts, however, to axiomatize connectedness either directly or in the context of axiom systems describing … WebJan 1, 2009 · The generalized connectivity of a graph G, denoted as κk(G), is a generalization of the traditional connectivity and is a parameter to measure the … hinted method

Generalization Definition & Meaning - Merriam-Webster

WebApr 15, 2024 · The generalized k-connectivity κ k (G) of a graph G, introduced by Hager (1985), is a natural generalization of the concept of connectivity κ(G), which is just for k … 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) … 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 predictors. The new model characterizes the population-level connectivity pattern through a low-rank intercept matrix, and the effect of subject covariates through a ... home power bi

Generalization Definition & Meaning Dictionary.com

The generalized connectivity of $(n,k)$-bubble-sort graphs

WebMay 7, 2024 · The generalized -connectivity is a generalization of the traditional connectivity. In this paper, the generalized -connectivity of the -bubble-sort graph is studied for . By proposing an algorithm to construct internally disjoint paths in , we show that for , which generalizes the known result about the bubble-sort graph [Applied … WebThe generalized k-connectivity of a graph G is a parameter that can measure the reliability of a network G to connect any k vertices in G, which is a generalization of traditional … home power battery storageWebGeneralization definition, the act or process of generalizing. See more. hinted meaning in hindi

"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 … " - Generalized connectivity

Generalized connectivity

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 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 …

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WebDec 28, 2010 · The generalized k-connectivity of the complete graph, κ k (K n ), was determined in [6] for every pair k, n of integers with 2 ≤ k ≤ n. The generalized k-connectivity of the complete ... WebApr 1, 2014 · The generalized k-connectivity kk (G) of a graph G, which was introduced by Chartrand et al., is denned as min s⊆v (G), S =k kG (S). In this paper, we get a sharp upper bound of generalized k ...

WebThe meaning of GENERALIZE is to give a general form to. How to use generalize in a sentence. WebIn order to study the r-component edge connectivity of generalized Petersen graphs we use the girth of a graph. Let Gbe a simple graph with at least one cycle, then the girth of G, denoted as g(G), is de ned as the minimum among the lengths of all cycles in G. A shortest cycle is a cycle of minimum length. Some bounds for the girth of a generalized

WebApr 15, 2024 · The generalized k-connectivity κ k (G) of a graph G, introduced by Hager (1985), is a natural generalization of the concept of connectivity κ(G), which is just for k = 2.This parameter is often used to measure the capability of a network G to connect any k vertices in G.The line graph and the total graph are usually seen as important models for … WebThe generalized k-connectivity, which was introduced by Chartrand et al. [3], is a strengthening of connectivity and can be served as an essential parameter for measuring reliability and fault ...

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.

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 ... home power battery backupWeb, Two kinds of generalized 3-connectivities of alternating group networks, in Proc. 12th International Frontiers of Algorithmics Workshop (FAW 2024), Guangzhou, China, May 8–10, 2024, Lecture Notes in Computer Science, pp. 12–23. Google Scholar; 3. G. Chartrand et al., Generalized connectivity in graphs, Bull. Bombay Math. home power battery systemWebApr 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. home power battery bankWebJul 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 … home power buyerWebDec 22, 2009 · For an integer k with 2 ≤ k ≤ n, the k-connectivity κ k (G) of G is the greatest positive integer ℓ for which G contains at least ℓ internally disjoint trees connecting S for every set S of k vertices of G. It is shown that κ k (K … home power cellWebFeb 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 … hinted pattern exampleWebMar 28, 2024 · The $r$-component connectivity $c\kappa_{r}(G)$ of a non-complete graph $G$ is the minimum number of vertices whose deletion results in a graph with at least … homepower.com