منابع مشابه
On 3-extra connectivity of k-ary n-cubes
Given a graph G, a non-negative integer g and a set of vertices S, the g-extra connectivity of G is the cardinality of a minimum set S such that G − S is disconnected and each component of G− S has at least g + 1 vertices. The 2-extra connectivity of k-ary n-cubes is gotten by Hsieh et al. in [Theoretical Computer Science, 443 (2012) 63-69] for k ≥ 4. This paper shows that the 3-extra connectiv...
متن کاملAugmented k-ary n-cubes
We define an interconnection network AQn,k which we call the augmented kary n-cube by extending a k-ary n-cube in a manner analogous to the existing extension of an n-dimensional hypercube to an n-dimensional augmented cube. We prove that the augmented k-ary n-cube AQn,k has a number of attractive properties (in the context of parallel computing). For example, we show that the augmented k-ary n...
متن کاملk-ary n-cubes versus Fat Trees
In this paper, we examine performance aspects of fat-tree topologies and compare these to k-ary ncube topologies. In particular, we apply the analytic techniques developed for cube topologies upon fat trees to understand better the characteristic of that topology. The organization of this paper is as follows: Section 1 contains an overview of k-ary n-cube and fat-tree topologies. Section 2 cont...
متن کاملON BOTTLENECK PARTITIONING k-ARY n-CUBES
/raph partitioning is a topic of extensive interest, with applications to parallel processing. In this context graph nodes typically represent computation, and edges represent communication. One seeks to distribute the workload by partitioning the graph so that every processor has approximately the same workload, and the communication cost (measured as a fimction of edges exposed by the partiti...
متن کاملExtra connectivity measures of 3-ary n-cubes
The h-extra connectivity is an important parameter to measure the reliability and fault tolerance ability of large interconnection networks. The k-ary ncube is an important interconnection network of parallel computing systems. The 1-restricted connectivity of k-ary n-cubes has been obtained by Chen et al. for k ≥ 4 in [6]. Nevertheless, the h-extra connectivity of 3-ary ncubes has not been obt...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2020
ISSN: 0096-3003
DOI: 10.1016/j.amc.2020.125237