
Building Clusters with Lower-Bounded Sizes
Abu-Khzam, Faisal N.; Bazgan, Cristina; Casel, Katrin; Fernau, Henning (2016), Building Clusters with Lower-Bounded Sizes, dans Hong, Seok-Hee, 27th International Symposium on Algorithms and Computation, ISAAC 2016, Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik : Wadern (Germany), p. 148:1–148:12. 10.4230/LIPIcs.ISAAC.2016.148
Voir/Ouvrir
Type
Communication / ConférenceDate
2016Titre du colloque
27th International Symposium on Algorithms and Computation, ISAAC 2016Date du colloque
2016-12Ville du colloque
SydneyPays du colloque
AustraliaTitre de l'ouvrage
27th International Symposium on Algorithms and Computation, ISAAC 2016Auteurs de l’ouvrage
Hong, Seok-HeeÉditeur
Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik
Ville d’édition
Wadern (Germany)
Isbn
978-3-95977-026-2
Pages
148:1–148:12
Identifiant publication
Métadonnées
Afficher la notice complèteAuteur(s)
Abu-Khzam, Faisal N.Lebanese American University [LAU]
Bazgan, Cristina
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Casel, Katrin
Fernau, Henning
Résumé (EN)
Classical clustering problems search for a partition of objects into a fixed number of clusters. In many scenarios however the number of clusters is not known or necessarily fixed. Further, clusters are sometimes only considered to be of significance if they have a certain size. We discuss clustering into sets of minimum cardinality k without a fixed number of sets and present a general model for these types of problems. This general framework allows the comparison of different measures to assess the quality of a clustering. We specifically consider nine quality-measures and classify the complexity of the resulting problems with respect to k. Further, we derive some polynomial-time solvable cases for k = 2 with connections to matching-type problems which, among other graph problems, then are used to compute approximations for larger values of k.Mots-clés
Clustering; Approximation Algorithms; Complexity; MatchingPublications associées
Affichage des éléments liés par titre et auteur.
-
Abu-Khzam, Faisal N.; Bazgan, Cristina; Casel, Katrin; Fernau, Henning (2018) Article accepté pour publication ou publié
-
Abu-Khzam, Faisal N.; Bazgan, Cristina; Chopin, Morgan; Fernau, Henning (2014) Communication / Conférence
-
Abu-Khzam, Faisal N.; Bazgan, Cristina; Chopin, Morgan; Fernau, Henning (2016) Article accepté pour publication ou publié
-
Abu-Khzam, Faisal; Bazgan, Cristina; Fernau, Henning (2020) Communication / Conférence
-
Bazgan, Cristina; Brankovic, Ljiljana; Casel, Katrin; Fernau, Henning; Jansen, Klaus; Lampis, Michael; Liedloff, Mathieu; Monnot, Jérôme; Paschos, Vangelis (2016) Communication / Conférence