prize-collecting Steiner tree problem

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf mathematical optimization
gptkbp:complexity gptkb:NP-hard
gptkbp:estimatedCost Goemans-Williamson algorithm
gptkbp:generalizes gptkb:Steiner_tree_problem
gptkbp:goal find a subtree minimizing edge costs and penalties for excluded vertices
gptkbp:hasApplication computational biology
telecommunications
network design
gptkbp:hasEdgeCost each edge has a cost
gptkbp:hasSpecialCase node-weighted Steiner tree problem
https://www.w3.org/2000/01/rdf-schema#label prize-collecting Steiner tree problem
gptkbp:introduced gptkb:David_P._Williamson
Michel X. Goemans
gptkbp:introducedIn 1992
gptkbp:penalty each vertex not included incurs a penalty
gptkbp:relatedTo gptkb:Steiner_tree_problem
graph theory
gptkbp:bfsParent gptkb:Steiner_tree_problem
gptkbp:bfsLayer 7