Presentation 2005/7/29
An Algorithm for Node-Disjoint Paths Problem in Burnt Pancake Graphs
Naoki SAWADA, Yasuto SUZUKI, Keiichi KANEKO,
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Abstract(in English) An n-burnt pancake graph B_n[1] is an undirected regular graph with n!×2^n nodes and degree n. The burnt pancake graphs is an attractive as a topology of interconnection networks. Because the density of B_n is higher than that of hypercube and B_n can interconnect different numbers of nodes from the pancake graphs, the star graphs and the rotator graphs. In this study, we take an n-burnt pancake graph as a target and propose an algorithm to obtain, for any pair of nodes, n internally disjoint paths between them in the time complexity of polynomial order of the degree. We also show that the time complexity and the max length of a path given by the algorithm is O(n^3) and 3n+4, respectively. The simulation results show that the average time complexity of the altorithm and the max length of a path given by the algorithm are of O(n^<2.6>) and 3n+4, respectively.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) burnt pancake graph / disjoint paths / fault tolerance / polynomial-order algorithm
Paper # DC2005-13
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Committee DC
Conference Date 2005/7/29(1days)
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Paper Information
Registration To Dependable Computing (DC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Algorithm for Node-Disjoint Paths Problem in Burnt Pancake Graphs
Sub Title (in English)
Keyword(1) burnt pancake graph
Keyword(2) disjoint paths
Keyword(3) fault tolerance
Keyword(4) polynomial-order algorithm
1st Author's Name Naoki SAWADA
1st Author's Affiliation Department of Technology, Tokyo University of Agriculture and Technology()
2nd Author's Name Yasuto SUZUKI
2nd Author's Affiliation Department of Technology, Tokyo University of Agriculture and Technology
3rd Author's Name Keiichi KANEKO
3rd Author's Affiliation Department of Technology, Tokyo University of Agriculture and Technology
Date 2005/7/29
Paper # DC2005-13
Volume (vol) vol.105
Number (no) 227
Page pp.pp.-
#Pages 6
Date of Issue