The box-TDI system associated with 2-edge connected spanning subgraphs

doi:10.1016/j.dam.2008.05.001

CSpace > 应用数学研究所

	The box-TDI system associated with 2-edge connected spanning subgraphs
	Chen, Xujin2 ; Ding, Guoli 1; Zang, Wenan 3
	2009-01-06
发表期刊	DISCRETE APPLIED MATHEMATICS
ISSN	0166-218X
卷号	157 期号:1 页码:118-125
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.
关键词	Polyhedron Box total dual integrality Graph Cut Traveling salesman problem
DOI	10.1016/j.dam.2008.05.001
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000261861700011
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8272
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.