TY - GEN
T1 - A 4 + ε approximation for k-connected subgraphs
AU - Nutov, Zeev
N1 - Publisher Copyright:
Copyright © 2020 by SIAM
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020
Y1 - 2020
N2 - We obtain approximation ratio (equation presented) for the (undirected) k-Connected Subgraph problem, where l = (equation presented) is the largest integer such that 2l−1k2l+1 ≤ n. For large values of n this improves the ratio 6 of Cheriyan and Végh [4] when n ≥ k3 (the case l = 1). Our result implies an fpt-approximation ratio 4 + ε that matches (up to the “+ε” term) the best known ratio 4 for k = 6, 7 for both the general and the easier augmentation versions of the problem. Similar results are shown for the problem of covering an arbitrary crossing supermodular biset function.
AB - We obtain approximation ratio (equation presented) for the (undirected) k-Connected Subgraph problem, where l = (equation presented) is the largest integer such that 2l−1k2l+1 ≤ n. For large values of n this improves the ratio 6 of Cheriyan and Végh [4] when n ≥ k3 (the case l = 1). Our result implies an fpt-approximation ratio 4 + ε that matches (up to the “+ε” term) the best known ratio 4 for k = 6, 7 for both the general and the easier augmentation versions of the problem. Similar results are shown for the problem of covering an arbitrary crossing supermodular biset function.
UR - http://www.scopus.com/inward/record.url?scp=85084087823&partnerID=8YFLogxK
M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???
AN - SCOPUS:85084087823
T3 - Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
SP - 1000
EP - 1009
BT - 31st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2020
A2 - Chawla, Shuchi
PB - Association for Computing Machinery
T2 - 31st Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2020
Y2 - 5 January 2020 through 8 January 2020
ER -