Document Type
Article
Publication Date
1-6-2009
Abstract
Let G be a graph and let A be its cutset-edge incidence matrix. We prove that the linear system frac(1, 2) A x ≥ 1, x ≥ 0 is box totally dual integral (box-TDI) if and only ifG 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 Cornuéjols, Fonlupt, and Naddef and by Mahjoub which assert that both polyhedra {x {divides} frac(1, 2) A x ≥ 1, x ≥ 0} and {x {divides} frac(1, 2) A x ≥ 1, 1 ≥ x ≥ 0} are integral if G is series-parallel. © 2008 Elsevier B.V. All rights reserved.
Publication Source (Journal or Book title)
Discrete Applied Mathematics
First Page
118
Last Page
125
Recommended Citation
Chen, X., Ding, G., & Zang, W. (2009). The box-TDI system associated with 2-edge connected spanning subgraphs. Discrete Applied Mathematics, 157 (1), 118-125. https://doi.org/10.1016/j.dam.2008.05.001
