Optimally Embedding 3-Ary n-Cubes into Grids View Full Text


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Article Info

DATE

2019-03

AUTHORS

Wei-Bei Fan, Jian-Xi Fan, Cheng-Kuan Lin, Yan Wang, Yue-Juan Han, Ru-Chuan Wang

ABSTRACT

The 3-ary n-cube, denoted as Qn3, is an important interconnection network topology proposed for parallel computers, owing to its many desirable properties such as regular and symmetrical structure, and strong scalability, among others. In this paper, we first obtain an exact formula for the minimum wirelength to embed Qn3 into grids. We then propose a load balancing algorithm for embedding Qn3 into a square grid with minimum dilation and congestion. Finally, we derive an O(N2) algorithm for embedding Qn3 into a gird with balanced communication, where N is the number of nodes in Qn3. Simulation experiments are performed to verify the total wirelength and evaluate the network cost of our proposed embedding algorithm. More... »

PAGES

372-387

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11390-019-1893-0

DOI

http://dx.doi.org/10.1007/s11390-019-1893-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1113048100


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