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 ). WebChartrand, G., Okamoto, F., & Zhang, P. (2009). Rainbow trees in graphs and generalized connectivity. Networks, NA–NA. doi:10.1002/net.20339
Generalized connectivity in graphs chartrand
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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 … WebAug 30, 2024 · The generalized -connectivity of a graph is a parameter that can measure the reliability of a network to connect any vertices in , which is proved to be NP-complete …
WebMar 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 … 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.
WebDec 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 ... WebJul 16, 2004 · Let G be a connected graph with vertex set V(G), edge set E(G), vertex-connectivity κ(G) and edge-connectivity λ(G).A subset S of E(G) is called a restricted edge-cut if G - S is disconnected and each component contains at least two vertices. The restricted edge-connectivity λ 2 (G) is the minimum cardinality over all restricted edge …
WebMar 9, 2024 · In recent years, complex multi-stage cyberattacks have become more common, for which audit log data are a good source of information for online monitoring. However, predicting cyber threat events based on audit logs remains an open research problem. This paper explores advanced persistent threat (APT) audit log information and …
WebMar 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 … pak study leactures by virtual universityWebOct 20, 2024 · For an integer k with 2 ≤ k ≤ n , the generalized k-connectivity of a graph G is defined as ... For example, Chartrand et al. studied the generalized connectivity of complete graphs; Li et al. characterized the minimally 2-connected graphs with generalized connectivity ... summe formel wordWebSa 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 ... pak study notes 2nd yearWebDec 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 … summe german to englishWebMar 31, 2011 · The generalized 3-connectivity of Cartesian product graphs. The generalized connectivity of a graph, which was introduced recently by Chartrand et … summed up perfectlyWebMar 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 … summencheckpak study notes class 10 in urdu