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 Japanese) | (See Japanese page) |
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 |
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Conference Date | 2005/7/29(1days) |
Place (in Japanese) | (See Japanese page) |
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Topics (in Japanese) | (See Japanese page) |
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Registration To | Dependable Computing (DC) |
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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 |
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