Generalized connectivity
WebOct 17, 2024 · The connectivity is an important measurement for the fault-tolerance of a network. The generalized connectivity is a natural generalization of the classical connectivity. An S S -tree of a ... 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 …
Generalized connectivity
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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) …
WebThe meaning of GENERALIZATION is the act or process of generalizing. How to use generalization in a sentence. WebMar 24, 2024 · For , the generalized -connectivity of an -vertex connected graph is defined to be . The generalized -connectivity can serve for measuring the fault tolerance of an interconnection network. The bubble-sort graph for is a Cayley graph over the symmetric group of permutations on generated by transpositions from the set .
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 ... WebDec 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 …
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 … marinette princessWebDec 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 … daly funeralWebMay 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 … daly lto bmsWebBoth 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 … marinette raceWebMar 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 … daly limitationsWebThe 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 ... marinette.recdesk.comWebIn 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 … marinette quotes