2024 Generalized connectivity

Generalized connectivity

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August undefined, 2024

WebSep 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 … Web, 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.

The generalized $4$-connectivity of bubble-sort graphs

WebThe generalized k-connectivity of a graph G, denoted by κ k (G), is an important indicator of a network’s ability for fault tolerance and reliability. The bubble-sort star graph, … 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 ... pup journalism

The generalized 4-connectivity of folded Petersen cube networks

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. WebFeb 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 … 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 … puouetuki twitter

generalized order mixture model for tracing connectivity of …

The Generalized Connectivity of Bubble-Sort Star Graphs

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 ... 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 ... baras larisaWebBoth 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 … puotimuseo valkeala

"WebHow to use generalized in a sentence. made general; especially : not highly differentiated biologically nor strictly adapted to a particular environment… See the full definition " - Generalized connectivity

Generalized connectivity

A glimpse of a generalized Hessian operator SpringerLink

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 ... 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 …

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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 . 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 every set S of k vertices of G. It is shown that κ k (K …

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 … 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 …

WebJan 31, 2024 · The generalized 2-connectivity is exactly the traditional connectivity. Li et al. [10] derived that it is NP-complete for a general graph G to decide whether there are k … 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 …

WebGeneralization definition, the act or process of generalizing. See more.

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 … puotimimmitWebJun 8, 2024 · The folded Petersen cube network F P Q n, k can be used to model the topological structure of a communication-efficient multiprocessor. This paper shows that … baras bird sanctuaryWebMar 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 … baras lauren m mdWebFor 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) … barasada in englishWebApr 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 … pup sis studentWebIn 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 puoti ja kahvila ihanaWebDec 5, 2024 · The Generalized Connectivity Maintenance (GCM) theory already provides a way to represent and consider the aforementioned constraints, but previous works only … baras ja ae badal mp3 song download