The box-TDI system associated with 2-edge connected spanning subgraphs
文献类型：期刊论文
| 作者 | Chen, Xujin2 ; Ding, Guoli1; Zang, Wenan3
|
| 刊名 | DISCRETE APPLIED MATHEMATICS
 |
| 出版日期 | 2009-01-06 |
| 卷号 | 157期号:1页码:118-125 |
| 关键词 | Polyhedron Box total dual integrality Graph Cut Traveling salesman problem |
| ISSN号 | 0166-218X |
| DOI | 10.1016/j.dam.2008.05.001 |
| 英文摘要 | Let G be a graph and let A be its cutset-edge incidence matrix. We prove that the linear system 1/2Ax >= 1, x >= 0 is box totally dual integral (box-TDI) if and only if G is a series-parallel graph: a by-product of this characterization is a structural description of a box-TDI system on matroids. Our results strengthen two previous theorems obtained respectively by Cornuejols, Fonlupt, and Naddef and by Mahjoub which assert that both polyhedra {x | 1/2Ax >= 1, x >= 0} and {x | 1/2Ax >= 1, 1 >= x >= 0} are integral if G is series-parallel. (c) 2008 Elsevier B.V. All rights reserved. |
| 资助项目 | NSA[H98230-05-1-0081] ; NSA[DMS-0556091] ; NSA[ITR0326387] ; Research Grants Council of Hong Kong |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000261861700011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8271]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Ding, Guoli |
| 作者单位 | 1.Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA 2.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 3.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Xujin,Ding, Guoli,Zang, Wenan. The box-TDI system associated with 2-edge connected spanning subgraphs[J]. DISCRETE APPLIED MATHEMATICS,2009,157(1):118-125. |
| APA | Chen, Xujin,Ding, Guoli,&Zang, Wenan.(2009).The box-TDI system associated with 2-edge connected spanning subgraphs.DISCRETE APPLIED MATHEMATICS,157(1),118-125. |
| MLA | Chen, Xujin,et al."The box-TDI system associated with 2-edge connected spanning subgraphs".DISCRETE APPLIED MATHEMATICS 157.1(2009):118-125. |
入库方式： OAI收割
来源：数学与系统科学研究院
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