2026-07-22T21:18:27Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:8409 2024-03-06T10:41:59Z ddc:004 open_access

Network Construction with Ordered Constraints Huang, Yi Janardhanan, Mano Vikash Reyzin, Lev subgraph connectivity network construction ordered connectivity constraints PQ-trees In this paper, we study the problem of constructing a network by observing ordered connectivity constraints, which we define herein. These ordered constraints are made to capture realistic properties of real-world problems that are not reflected in previous, more general models. We give hardness of approximation results and nearly-matching upper bounds for the offline problem, and we study the online problem in both general graphs and restricted sub-classes. In the online problem, for general graphs, we give exponentially better upper bounds than exist for algorithms for general connectivity problems. For the restricted classes of stars and paths we are able to find algorithms with optimal competitive ratios, the latter of which involve analysis using a potential function defined over PQ-trees. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Yi Huang and Mano Vikash Janardhanan and Lev Reyzin 2018 Is Part Of LIPIcs, Volume 93, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/LIPIcs.FSTTCS.2017.34 urn:nbn:de:0030-drops-84090 https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2017.34 eng https://creativecommons.org/licenses/by/3.0/legalcode