On k-ary n-cubes: theory and applications
نویسندگان
چکیده
منابع مشابه
On k-ary n-cubes: Theory and Applications
7 Many parallel processing applications have communication patterns that can be viewed as graphs called k-ary n-cubes, whose special cases include rings, hypercubes and tori. In this paper, 9 combinatorial properties of k-ary n-cubes are examined. In particular, the problem of characterizing the subgraph of a given number of nodes with the maximum edge count is studied. These 11 theoretical res...
متن کاملOn k - ary n - cubes : Theory and Applications 1
Many parallel processing networks can be viewed as graphs called k-ary n-cubes, whose special cases include rings, hypercubes and toruses. In this paper, combinatorial properties of k-ary n-cubes are explored. In particular, the problem of characterizing the subgraph of a given number of nodes with the maximum edge count is studied. These theoretical results are then used to compute a lower bou...
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...
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/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 کاملCombinatorics of k-ary n-cubes with Applications to Partitioning
Many communication networks can be viewed as graphs called k-ary n-cubes, whose special cases include rings, hypercubes, and toruses. This paper explores combinatorial properties of such graphs—in particular, the characterization of the subgraph of a given number of nodes with maximum edge count. Applications of these properties to partitioning parallel computations will also be discussed.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2003
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(02)00238-x