TY - CHAP
T1 - Approximating minimum-cost connectivity problems
AU - Kortsarz, Guy
AU - Nutov, Zeev
N1 - Publisher Copyright:
© 2007 by Taylor & Francis Group, LLC.
Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2007/1/1
Y1 - 2007/1/1
N2 - We survey approximation algorithms and hardness results for versions of the Generalized Steiner Network (GSN) probleminwhichwe seek tofind a low-cost subgraph (where the cost of a subgraph is the sum of the costs of its edges) that satisfies prescribed connectivity requirements. These problems include the following well-known problems: min-cost k-flow, min-cost spanning tree, traveling salesman, directed/undirected Steiner tree, Steiner forest, k-edge/node-connected spanning subgraph, and others.
AB - We survey approximation algorithms and hardness results for versions of the Generalized Steiner Network (GSN) probleminwhichwe seek tofind a low-cost subgraph (where the cost of a subgraph is the sum of the costs of its edges) that satisfies prescribed connectivity requirements. These problems include the following well-known problems: min-cost k-flow, min-cost spanning tree, traveling salesman, directed/undirected Steiner tree, Steiner forest, k-edge/node-connected spanning subgraph, and others.
UR - http://www.scopus.com/inward/record.url?scp=48549091072&partnerID=8YFLogxK
U2 - 10.1201/9781420010749
DO - 10.1201/9781420010749
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AN - SCOPUS:48549091072
SN - 1584885505
SN - 9781584885504
SP - 58-1-58-22
BT - Handbook of Approximation Algorithms and Metaheuristics
PB - CRC Press
ER -