Presentation 2003/1/17
Explicit Construction of Optimal Fault-Tolerant Linear Arrays
Toshinori YAMADA, Shuichi UENO,
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Abstract(in English) This paper proves that for every positive integers n and k, we can explicitly construct a graph G with n + O(k) vertices and maximum degree 3, such that even after removing any k vertices from G, the remaining graph still contains a path of length n - 1. This settles a problem raised by Zhang [12,13] in connection with the design of fault-tolerant linear arrays.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Fault-Tolerant Graph / Linear Array / Magnifier / Expander
Paper # COMP2002-62
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Conference Information
Committee COMP
Conference Date 2003/1/17(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Explicit Construction of Optimal Fault-Tolerant Linear Arrays
Sub Title (in English)
Keyword(1) Fault-Tolerant Graph
Keyword(2) Linear Array
Keyword(3) Magnifier
Keyword(4) Expander
1st Author's Name Toshinori YAMADA
1st Author's Affiliation Graduate School of Science and Engineering Tokyo Institute of Technology()
2nd Author's Name Shuichi UENO
2nd Author's Affiliation Graduate School of Science and Engineering Tokyo Institute of Technology
Date 2003/1/17
Paper # COMP2002-62
Volume (vol) vol.102
Number (no) 593
Page pp.pp.-
#Pages 7
Date of Issue