Details

Autor(en) / Beteiligte

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

Titel

Optimally Embedding 3-Ary n-Cubes into Grids

Ist Teil von

• Journal of computer science and technology, 2019-03, Vol.34 (2), p.372

Ort / Verlag

Springer

Erscheinungsjahr

2019

Link zum Volltext

Quelle

SpringerLink

Beschreibungen/Notizen

• The 3-ary n-cube, denoted as [Q.sup.3.sub.n], 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 [Q.sup.3.sub.n] into grids. We then propose a load balancing algorithm for embedding [Q.sup.3.sub.n] into a square grid with minimum dilation and congestion. Finally, we derive an O([N.sup.2]) algorithm for embedding [Q.sup.3.sub.n] into a gird with balanced communication, where N is the number of nodes in [Q.sup.3.sub.n]. Simulation experiments are performed to verify the total wirelength and evaluate the network cost of our proposed embedding algorithm. Keywords 3-ary n-cube, embedding algorithm, grid, interconnection network