Generalized connectivity
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. WebThe generalized connectivity of complete equipartition 3-partite graphs. Let G be a nontrivial connected graph of order n, and k an integer with 2 ≤ k ≤ n. For a set S of k vertices of G, let κ (S) denote the maximum number ` of edge-disjoint trees T1, T2, . . . , T` in G such that V (Ti) ∩ V (Tj) = S for every pair of distinct integers ...
Generalized connectivity
Did you know?
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 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 …
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 … 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 …
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 … 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 …
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 every set S of k vertices of G. It is shown that κ k (K … naruto shippuden ep 362WebOct 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 ) . mellow chords sajjanWebIn 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 … naruto shippuden ep 364 bg subsWebJul 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 … mellow chords elton johnWebIn 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 mellow christian musicWebFeb 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 … mellow christian music youtubeWebJun 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 the generalized 4-connectivity of the folded Petersen cube network F P Q n, k is n + 3 k − 1. As a corollary, the generalized 3-connectivity of F P Q n, k also is obtained and the ... mellow christmas