• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • LAMSADE (UMR CNRS 7243)
  • LAMSADE : Publications
  • View Item
  •   BIRD Home
  • LAMSADE (UMR CNRS 7243)
  • LAMSADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - Request a copy

Steiner 2-edge connected subgraph polytopes on series-parallel graphs

Baïou, Mourad; Mahjoub, Ali Ridha (1997), Steiner 2-edge connected subgraph polytopes on series-parallel graphs, SIAM Journal on Discrete Mathematics, 10, 3, p. 505-514. http://dx.doi.org/10.1137/S0895480193259813

Type
Article accepté pour publication ou publié
Date
1997
Journal name
SIAM Journal on Discrete Mathematics
Volume
10
Number
3
Publisher
SIAM
Pages
505-514
Publication identifier
http://dx.doi.org/10.1137/S0895480193259813
Metadata
Show full item record
Author(s)
Baïou, Mourad
Mahjoub, Ali Ridha
Abstract (EN)
Given a graph G=(V,E) with weights on its edges and a set of specified nodes $S\subseteq V$, the Steiner 2-edge survivable network problem is to find a minimum weight subgraph of G such that between every two nodes of S there are at least two edge-disjoint paths. This problem has applications to the design of reliable communication and transportation networks. In this paper, we give a complete linear description of the polytope associated with the solutions to this problem when the underlying graph is series-parallel. We also discuss related polyhedra.
Subjects / Keywords
Series-parallel graphs; Connected subgraphs; Polytopes

Related items

Showing items related by title and author.

  • Thumbnail
    k-Edge connected polyhedra on series-parallel graphs 
    Didi Biha, Mohamed; Mahjoub, Ali Ridha (1996) Article accepté pour publication ou publié
  • Thumbnail
    Critical extreme points of the 2-edge connected subgraph polytope 
    Fonlupt, Jean; Mahjoub, Ali Ridha (2006) Article accepté pour publication ou publié
  • Thumbnail
    On the Steiner 2-edge connected subgraph polytope 
    Mahjoub, Ali Ridha; Pesneau, Pierre (2008) Article accepté pour publication ou publié
  • Thumbnail
    Critical extreme points of the 2-edge connected spanning subgraph polytope 
    Fonlupt, Jean; Mahjoub, Ali Ridha (1999) Communication / Conférence
  • Thumbnail
    The Steiner Traveling Salesman Polytope and Related Polyhedra 
    Baïou, Mourad; Mahjoub, Ali Ridha (2002) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo