Hierarchical cubic networks

Author: tfbg

August undefined, 2024

Web20 de out. de 2024 · As an empirical study, we apply the newly obtained results to a class of the state-of-the-art regular networks, including hypercube-like network as well as hypercube-based compound network, such as DQcube, exchanged hypercube, dual cube, half-hypercube, hierarchical cubic network, etc. The rest of this paper is organized as … WebAbstract: We establish a general fault-tolerance property for the interesting hierarchical cubic networks, when a linear number of vertices are removed from such a network. As its application, we discuss and derive several connectivity results of its underlying graph, including its restricted connectivity, cyclic vertex-connectivity, component connectivity, …

Connectivity Results of Complete Cubic Networks as Associated …

Web4 de jan. de 2016 · Fault tolerance of hierarchical cubic networks. In evaluating the fault tolerance of a distributed system, it is indispensable to estimate the size of the maximal connected components of the underlying graph when the structure begins to lose processors. In this section, we provide details on the fault resilience of the hierarchical … Web18 de dez. de 2024 · Hierarchical interconnection network enables large network structures to maintain desired properties, such as low diameter and low mean path length (MPL), of the basic graphs [5,6]. Classic examples of hierarchical products graphs include deterministic tree [ 7 ], Dragonfly [ 8 ], and hierarchical hypercube [ 9 ]. how do the bees make wax

On conditional fault tolerance of hierarchical cubic networks

Web10 de nov. de 1996 · The hierarchical cubic network (HCN), which takes hypercubes as basic clusters, was first introduced in [6]. Compared with the hypercube of the same size, … Web1 de jan. de 2024 · DOI: 10.1016/j.jpdc.2024.12.004 Corpus ID: 247060032; Component diagnosability in terms of component connectivity of hypercube-based compound networks @article{Liu2024ComponentDI, title={Component diagnosability in terms of component connectivity of hypercube-based compound networks}, author={Jiafei Liu and Shuming … Web1 de mai. de 1997 · Among them, certain classes of hierarchical networks, including hierarchical cubic networks (HCN) [15], hierarchical folded-hypercube networks (HFN) [13], hierarchical hypercube networks (HHN) [34 ... how do the bible describe jesus

The generalized 4-connectivity of hierarchical cubic networks

Comments on "Hierarchical Cubic Networks" - Semantic Scholar

WebHierarchical clustering is one method for finding community structures in a network.The technique arranges the network into a hierarchy of groups according to a specified … Web30 de nov. de 2024 · Many large-scale multiprocessor or multi-computer systems take interconnection networks as underlying topologies. Fault diagnosis is especially … how much should i get taxed ukWeb25 de mai. de 2024 · As applications, the component diagnosability is explored for some well-known networks, including complete cubic networks, hierarchical cubic networks, generalized exchanged hypercubes, dual-cube-like networks, hierarchical hypercubes, Cayley graphs generated by transposition trees (except star graphs), and DQcube as well. how much should i give for a christening gift

"WebRecently, Cheng et al.[] have proposed the complete cubic networks to extend the hierarchical cubic networksThe n-dimensional complete cubic network CCN (n, f) for n ≥ 2 is a collection of 2 n hypercube Q n, called clusters, where the bijection function f specifies a perfect matching on the vertices such that for any vertex u in a cluster, f(u) maps to … " - Hierarchical cubic networks

Hierarchical cubic networks

On Component Connectivity of Hierarchical Star Networks

Web13 de abr. de 2024 · An approach, CorALS, is proposed to enable the construction and analysis of large-scale correlation networks for high-dimensional biological data as an open-source framework in Python. WebA hierarchical cubic network was proposed as an alternative to the hypercube. By HCN(n), we denote the hierarchical cubic network that contains 2 n n-dimensional …

Did you know?

Web25 de mai. de 2024 · As applications, the component diagnosability is explored for some well-known networks, including complete cubic networks, hierarchical cubic networks, generalized exchanged hypercubes, dual-cube ... Web16 de jan. de 2013 · Effectively, today massively parallel systems, such as the Fujitsu K computer, connect hundreds of thousands of nodes (705 024 nodes for the K, connected according to a six-dimensional torus network). Focusing on degree reduction, a variation of the hypercube topology called hierarchical cubic networks (HCNs) was described.

Web14 de ago. de 2010 · 2.5. Hierarchical Cubic Networks (HCN) The Hierarchical Cubic Network HCN is a hierarchical network consisting of clusters, each of which is an … Web19 de dez. de 2014 · We establish a general fault-tolerance property for the interesting hierarchical cubic networks, when a linear number of vertices are removed from such a network. As its application, we discuss and derive several connectivity results of its underlying graph, including its restricted connectivity, cyclic vertex-connectivity, …

WebThe hierarchical star networks H S n, proposed by Shi and Srimani, is a new level interconnection network topology, ... Cheng, K. Qiu and Z. Shen, Connectivity results of complete cubic networks as associated with linearly many faults, J. Interconnec. Networks 15 (2015) 155007. WebAbstract: We establish a general fault-tolerance property for the interesting hierarchical cubic networks, when a linear number of vertices are removed from such a network. …

Web7 de ago. de 2002 · An n-dimensional hierarchical cubic network [denoted by HCN(n)] contains 2 n n-dimensional hypercubes.The diameter of the HCN(n), which is equal to n …

Web31 de jan. de 2024 · A Hierarchical Cubic Network (HCN) is a hierarchical hypercube network proposed by Ghose [4]. The HCNis topologically superior to many other similar networks, in particular, the hypercube. how do the big bash finals workWeb31 de jan. de 2024 · For an integer r with 2 ≤ r ≤ n, the generalized r -connectivity of a graph G is defined as κ r ( G) = m i n { κ G ( S) S ⊆ V ( G) and S = r }. In fact, κ 2 ( G) is … how do the bills make the playoffsWeb22 de out. de 2024 · As a variant of hypercubes, the hierarchical cubic network preserves many of its desirable properties such as regularity, Hamiltonicity, strong connectivity and … how do the bills win the divisionWeb25 de mar. de 2014 · Hierarchical cubic networks (HCN) have been introduced as interconnection networks for massively parallel systems. This topology is based on … how do the bing rewards workWeb18 de jan. de 2024 · In this article, we establish the r-component diagnosability for n-dimensional hierarchical cubic network HCN n, and we show that, under both PMC … how do the blades of chaos workWebAs a consequence, we also derive the related results of the n-dimensional hierarchical cubic network . H C N n. GRAPHICAL ABSTRACT. Keywords: g-extra connectivity; g-extra diagnosability; t/k-diagnosability; complete cubic networks; Disclosure statement. No potential conflict of interest was reported by the authors. how much should i give my nephew for weddingWeb3 de set. de 2024 · Component connectivity of hierarchical folded cubic networks. In this section, we will determine the ( r + 1) -component connectivity of H F Q ( n). In fact, c κ 2 … how much should i give as a wedding gift