Title
On the fault-tolerant embeddings of complete binary trees in the mesh interconnection networks
Abstract
Abstract In this article, several schemes are proposed for embedding complete binary trees (CBT) into meshes. All of the proposed methods outperform those in the previous studies. First, a link congestion 1 embedding is achieved. Its expansion ratio is at the lowest level as we know now. Except for this superiority, it also provides another capability for fault tolerance to resist abnormal system faults, thus the embedding structure can be more guaranteed and the node utilization is raised further. Second, a link congestion,1 embedding,with no-bending,constraint,is obtained. This scheme provides efficient CBT embedding,for both,the optical mesh,and general mesh,at the same,time while keeping,those good,properties as the previous,scheme. The last one is an optimal embedding which is applied to a 3D cubic mesh, where the node is almost fully utilized and its link congestion,is 2. 2002 Elsevier Science Inc. All rights reserved.
Year
DOI
Venue
2003
10.1016/S0020-0255(02)00389-4
Inf. Sci.
Keywords
Field
DocType
fault-tolerant embeddings,efficient cbt embedding,previous study,link congestion,embedding structure,previous scheme,optical mesh,general mesh,optimal embedding,node utilization,complete binary tree,cubic mesh,mesh interconnection network,fault tolerant,binary tree
Discrete mathematics,Switched mesh,Polygon mesh,Embedding,Binary tree,Resist,Fault tolerance,Interconnection,Shared mesh,Mathematics
Journal
Volume
ISSN
Citations 
151,
0020-0255
9
PageRank 
References 
Authors
0.70
9
3
Name
Order
Citations
PageRank
Wei-Chen Fang1171.66
Chiun-Chieh Hsu213218.37
Chien-Ming Wang313428.21