Français Anglais
Accueil Annuaire Plan du site
Accueil > Evenements > Séminaires
Séminaire d'équipe(s) Graphs, ALgorithms and Combinatorics
Solving Matching Problems Efficiently in Bipartite Graphs
Selma Djelloul

31 January 2015, 14:30 - 31 January 2015, 15:30
Salle/Bat : 475/PCRI-N
Contact :

Activités de recherche : Graph Theory

Résumé :
We investigate the problem maxDMM of computing a largest set
of pairwise disjoint maximum matchings in undirected graphs
We solve maxDMM for bipartite graphs, by providing
an $O(n^{1.5}sqrt{m/log n} + mnlog n)$-time algorithm, where
$n$, $m$ denote respectively the number of vertices and the number of edges.
Bisplit graphs are bipartite graphs with the nested neighborhood property.
For bisplit graphs,
(1) we solve maxDMM in time $O(mnlog n)$, and
(2) we design an $O(n^2log n)$-time algorithm to count all
maximum matchings. This latter time is the same time in which runs the best
known algorithm computing the number of maximum matchings in
bisplit graphs but we claim that our algorithm is much simpler.
The key idea underlying both results is that bisplit graphs have
an $O(n)$-time enumeration of their minimal vertex covers.

Pour en savoir plus :
Séminaires
On the Interplay between Software Product Lines an
Automated Reasoning
Tuesday 18 October 2022 - 14:15
Salle : 2013 - DIG-Moulon
Vander Alves .............................................

Combining randomized and observational data: Towar
Automated Reasoning
Thursday 13 October 2022 - 10:30
Salle : 2011 - DIG-Moulon
Bénédicte Colnet .............................................

New Achievements of Artificial Intelligence in Mul
Automated Reasoning
Tuesday 11 October 2022 - 14:15
Salle : 2013 - DIG-Moulon
.............................................

Definition and estimation of a variable importance
Automated Reasoning
Thursday 22 September 2022 - 10:30
Salle : 2011 - DIG-Moulon
.............................................

Definition and estimation of a variable importance
Automated Reasoning
Thursday 01 September 2022 - 10:30
Salle : 2011 - DIG-Moulon
Antoine Chambaz .............................................