Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s) GALaC
Some recent results on the integer linear programming formulation for the Max-Cut problem
Hung Nguyen

30 November 2018, 00h00
Salle/Bat : 445/PCRI-N
Contact :

Activités de recherche : Théorie des graphes

Résumé :
Given an undirected graph G=(V,E) where the edges are weighted by an arbitrary cost vector, a cut in G associated with a node subset S is the edge subset of E which contains all the edges having exactly one end-node in S.
The Maximum Cut problem which is to find a maximum total weight cut in G is one of the fundamental problems in combinatorial optimization.
The problem is NP-hard and has applications in many areas such as statistical physics, VLSI circuit design, scheduling, ...
Exact solutions for Max-Cut are usually based on mathematical formulations such as SDP for dense graphs and integer linear programming for sparse graphs.
The latter has non-compact formulations using cycle inequalities in the original space and compact (i.e., polynomial size) extended formulations using O(n^3) triangle inequalities defined on the complete graph of n vertices. In this talk, we show that one can simply reduce the number of triangle inequalities to O(nm).
We also present several extensions of the result for special sparse graphs and for graph partitioning problem.

Pour en savoir plus :
Séminaires
Some recent results on the integer linear programm
Théorie des graphes
Friday 30 November 2018 - 00h00
Salle : 445 - PCRI-N
Hung Nguyen .............................................

Maximum Independent Set in H-free graphs
Théorie des graphes
Friday 05 October 2018 - 14h30
Salle : 445 - PCRI-N
Edouard BONNET .............................................

A Family of Tractable Graph Distances
Gestion de données du Web
Wednesday 04 July 2018 - 10h30
Salle : 465 - PCRI-N
Stratis Ioannidis .............................................

Binary pattern of length greater than 14 are abeli
Combinatoire
Friday 29 June 2018 - 14h30
Salle : 445 - PCRI-N
Matthieu Rosenfeld .............................................

Distributionally Robust Optimization with Principa
Optimisation combinatoire et stochastique
Friday 29 June 2018 - 11h00
Salle : 455 - PCRI-N
Dr. Jianqiang Cheng .............................................