Minimum d-blockers and d-transversals in graphs - Archive ouverte HAL Access content directly
Journal Articles Journal of Combinatorial Optimization Year : 2011

Minimum d-blockers and d-transversals in graphs

Abstract

We consider a set V of elements and an optimization problem on V : the search for a maximum (or minimum) cardinality subset of V verifying a given property P. A d-transversal is a subset of V which intersects any optimum solution in at least d elements while a d-blocker is a subset of V whose removal deteriorates the value of an optimum solution by at least d. We present some general characteristics of these problems, we review some situations which have been studied (matchings, s . t paths and s . t cuts in graphs) and we study d-transversals and d-blockers for new problems as stable sets or vertex covers in bipartite graphs.
Fichier principal
Vignette du fichier
ArticleJOCO.pdf (299.77 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00973849 , version 1 (05-04-2016)

Identifiers

Cite

Marie-Christine Costa, Dominique de Werra, Christophe Picouleau. Minimum d-blockers and d-transversals in graphs. Journal of Combinatorial Optimization, 2011, 22 (4), pp.857-872. ⟨10.1007/s10878-010-9334-6⟩. ⟨hal-00973849⟩
73 View
160 Download

Altmetric

Share

Gmail Facebook X LinkedIn More