JAIST Repository >
School of Information Science >
Articles >
Journal Articles >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10119/10303
|
Title: | Hardness Results and an Exact Exponential Algorithm for the Spanning Tree Congestion Problem |
Authors: | Okamoto, Yoshio Otachi, Yota Uehara, Ryuhei Uno, Takeaki |
Keywords: | Spanning tree congestion computational complexity exponential time algorithm |
Issue Date: | 2011-10 |
Publisher: | Journal of Graph Algorithms and Applications |
Magazine name: | Journal of Graph Algorithms and Applications |
Volume: | 15 |
Number: | 6 |
Start page: | 727 |
End page: | 751 |
Abstract: | Spanning tree congestion is a relatively new graph parameter, which has been studied intensively. This paper studies the complexity of the problem to determine the spanning tree congestion for non-sparse graph classes, while it was investigated for some sparse graph classes before. We prove that the problem is NP-hard even for chain graphs and split graphs. To cope with the hardness of the problem, we present a fast (exponentialtime) exact algorithm that runs in O^*(2^n) time, where n denotes the number of vertices. Additionally, we present simple combinatorial lemmas, which yield a constant-factor approximation algorithm for cographs, and a linear-time algorithm for chordal cographs. |
Rights: | Copyright (C) 2011 Journal of Graph Algorithms and Applications. Yoshio Okamoto, Yota Otachi, Ryuhei Uehara, and Takeaki Uno, Journal of Graph Algorithms and Applications, 15(6), 2011, 727-751. |
URI: | http://hdl.handle.net/10119/10303 |
Material Type: | publisher |
Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
|
Files in This Item:
File |
Description |
Size | Format |
17641.pdf | | 336Kb | Adobe PDF | View/Open |
|
All items in DSpace are protected by copyright, with all rights reserved.
|