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http://dx.doi.org/10.3745/KIPSTA.2008.15-A.4.189

Embedding Mesh-Like Networks into Petersen-Torus(PT) Networks  

Seo, Jung-Hyun (순천대학교 컴퓨터과학과)
Lee, Hyeong-Ok (순천대학교 컴퓨터교육과)
Jang, Moon-Suk (순천대학교 공과대학 컴퓨터공학과)
Abstract
In this paper, we prove mesh-like networks can be embedded into Petersen-Torus(PT) networks. Once interconnection network G is embedded in H, the parallel algorithm designed in Gcan be applied to interconnection network H. The torus is embedded into PT with dilation 5, link congestion 5 and expansion 1 using one-to-one embedding. The honeycomb mesh is embedded into PT with dilation 5, link congestion 2 and expansion 5/3 using one-to-one embedding. Additional, We derive average dilation. The embedding algorithm could be available in both wormhole routing system and store-and-forward routing system by embedding the generally known Torus and honeycomb mesh networks into PT at 5 or less of dilation and congestion, and the processor throughput could be minimized at simulation through one-to-one.
Keywords
Interconnection Network; Petersen-torus; Embedding; Mesh; Torus; Honeycomb Mesh;
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Times Cited By KSCI : 1  (Citation Analysis)
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