Presentation 1994/10/21
Cluster Fault Tolerant Routing in Star Graphs
Qian-Ping Gu, Shietung Peng,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In this paper,we study the node fault tolerant routing properties of n-dimensional star graphs G_nbased on the cluster fault tolerant routing model which is a natural extension of the well studied node fault tolerant routing.For a graph G,a cluster C is a connected subgraph of G,and C is called fault cluster if all nodes in C are faulty.In cluster fault tolerant routing,the number of fault clusters and the size of the fault clusters that can be tolerated are studied.For node-to-node,node-to-set,set-to-set,and k-pairwise fault tolerant routing problems in n-dimensional star graphs G_n,we prove that G_n can tolerate n - 2,n - 1 - k,n - 1 - k,and n - 2k fault clusters of diameter at most 2,respectively.Our results show that stax graphs G_nhave very good node fault tolerant routing properties.Wealso give optimal time algorithms which find the required routing paths of length d(G_n)+ O(1)for any tolerable set of fault clusters in the above routing problems, where d(G_n)=[(3(n-1)), 2]is the diameter of G_n.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Node fault tolerant Routing / Algorithm / Interconnection network / Node Disjoint Path
Paper # COMP94-49
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Conference Information
Committee COMP
Conference Date 1994/10/21(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Cluster Fault Tolerant Routing in Star Graphs
Sub Title (in English)
Keyword(1) Node fault tolerant Routing
Keyword(2) Algorithm
Keyword(3) Interconnection network
Keyword(4) Node Disjoint Path
1st Author's Name Qian-Ping Gu
1st Author's Affiliation The University of Aizu()
2nd Author's Name Shietung Peng
2nd Author's Affiliation The University of Aizu /
Date 1994/10/21
Paper # COMP94-49
Volume (vol) vol.94
Number (no) 304
Page pp.pp.-
#Pages 10
Date of Issue