Generalized connectivity in graphs chartrand

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August undefined, 2024

WebJan 31, 2024 · In addition, there are some known results about generalized r-connectivity for some special classes of graphs. For example, Chartrand et al. [2] studied the generalized connectivity of complete graphs; Li et al. [13] first studied the generalized 3-connectivity of Cartesian product graphs, then Li et al. [15] also studied the … WebMar 16, 2024 · Graph models are fundamental in network theory. But normalization of weights are necessary to deal with large size networks like internet. Most of the research …

Generalized connectivity of some total graphs SpringerLink

WebMar 1, 2024 · The generalized k-connectivity (Formula presented.) 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 ... WebDec 1, 2011 · The generalized -connectivity of a graph was introduced by Chartrand et al. in 1984. It is natural to introduce the concept of generalized -edge-connectivity . For general , the generalized -edge-connectivity of a complete graph is obtained. For , tight upper and lower bounds of and are given for a connected graph of order , that is, and . boilers fitted price

The generalized connectivity of some regular graphs

WebSa thèse est intitulée Generalized Connectivity in Graphs et a été supervisée par Gary Chartrand (en) [2], [4]. Oellermann a enseigné à l' Université de Durban-Westville (en) , à l'Université Western Michigan, à l'Université du Natal et à l' université de Brandon , avant de déménager à Winnipeg en 1996. À Winnipeg, elle a ... WebAbstract. The generalized connectivity of a graph $G$ was introduced by Chartrand et al. Let $S$ be a nonempty set of vertices of $G$, and $\kappa(S)$ be defined as ... WebJun 8, 2024 · 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 results on the generalized 4-connectivity of hypercube Q n and folded Petersen graph F P k can be verified. glov on the go

The generalized connectivity of complete bipartite graphs

Generalized Connectivity of (n,k)-Bubble-Sort Graphs

WebA permutation graph G^@p of a graph G (or generalized prism) is obtained by taking two disjoint copies of G and adding an arbitrary matching between the copies. For the parameters diameter, radius, average distance, connectivity and edge-connectivity, ... WebJan 1, 2024 · The generalized k-connectivity $$\\kappa _k(G)$$źk(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. ... glo vs zoom teeth whiteningWebMar 20, 2013 · Abstract: The concept of k-connectivity $$\kappa '_{k}(G)$$źkź(G) of a graph G, introduced by Chartrand in 1984, is a generalization of the cut-version of the classical connectivity. Another generalized connectivity of a graph G, named the generalized k-connectivity $$\kappa _{k}(G)$$źk(G), mentioned by Hager in 1985, is a … glovtex oil and gas limited

"WebJan 31, 2024 · In addition, there are some known results about generalized r-connectivity for some special classes of graphs. For example, Chartrand et al. [2] studied the … " - Generalized connectivity in graphs chartrand

Generalized connectivity in graphs chartrand

WebFeb 15, 2024 · The generalized 3-connectivity of lexicographic product graphs. Recall that the lexicographic product of two graphs G and H, written as G H, is the graph with vertex set V ( G) × V ( H ), in which two vertices ( u, v) and ( u ′, v ′) are adjacent if and only if uu ′ ∈ E ( G ), or u = u ′ and vv ′ ∈ E ( H ).

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WebMar 31, 2011 · The generalized 3-connectivity of Cartesian product graphs. The generalized connectivity of a graph, which was introduced recently by Chartrand et … WebDownloadable (with restrictions)! The generalized k-connectivity $$\kappa _k(G)$$ κ 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.

WebDec 1, 2011 · The strong subgraph connectivity is not only a natural extension of tree connectivity [20,27, 28] of undirected graphs to directed graphs, but also could be seen as a generalization of classical ... WebDec 12, 2016 · The connectivity of a graph G is the minimum number of vertices in G whose deletion produces a disconnected or trivial graph, while the edge-connectivity of …

Webconnectivity was introduced by Hager [4, 5] (or generalized connectivity by Chartrand et al. [2]) to meet wider applications, which is a natural generalization of connectivity and path-connectivity. Given a graph G ¼ðV;EÞ and a set S VðGÞ of size at least 2, a tree in G is said to be an S-tree if it connects all vertices of S. Trees T 1 and T 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 …

WebDec 22, 2009 · For a nontrivial connected graph G of order n and for integers k and ℓ with 2 ≤ k ≤ n and 1 ≤ ℓ ≤ κ k (G), the (k,ℓ)-rainbow index rx k,ℓ (G) of G is the minimum number …

WebJul 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 … glovs warm grip fodradWebJul 13, 2024 · The generalized k -connectivity κ k ( G) of a graph G, introduced by Hager in 1985, is a natural generalization of the classical connectivity. As a natural … glow 123moviesWebChartrand, G., Okamoto, F., & Zhang, P. (2009). Rainbow trees in graphs and generalized connectivity. Networks, NA–NA. doi:10.1002/net.20339 boilers for disabled peopleWebSep 10, 2015 · Chartrand et al. Chartrand et al. generalized the cut-version definition of the connectivity as follows: For an integer $k \ (k \ge 2)$ and a graph G of order $n \ (n\ge k)$, the k-connectivity $\kappa '_k(G)$ is the smallest number of vertices whose removal from G of order n $(n\ge k)$ produces a graph with at least k components or a ... glov water only makeup removersWebDec 28, 2010 · The generalized connectivity of complete bipartite graphs. Let be a nontrivial connected graph of order , and an integer with . For a set of vertices of , let denote the maximum number of edge-disjoint trees in such that for every pair of distinct integers with . Chartrand et al. generalized the concept of connectivity as follows: The ... glovsky orthodontics gilbert azWebMar 8, 2005 · A permutation graph (or generalized prism) G π of a graph G is obtained by taking two disjoint copies of G and adding an arbitrary matching between the two copies. Permutation graphs can be seen as suitable models for building larger interconnection networks from smaller ones without increasing significantly their maximum transmission … boilers for dummies bookWebAbstract. The 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 … boilers for free reviews