[LIBRO][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

Approximating Minimum-Size k-Connected Spanning Subgraphs via Matching

J Cheriyan, R Thurimella - SIAM Journal on Computing, 2000 - SIAM
An efficient heuristic is presented for the problem of finding a minimum-size k-connected
spanning subgraph of an (undirected or directed) simple graph G=(V, E). There are four …

Hardness of approximation for vertex-connectivity network design problems

G Kortsarz, R Krauthgamer, JR Lee - SIAM Journal on Computing, 2004 - SIAM
In the survivable networkdesign problem (SNDP), the goal is to find a minimum-cost
spanning subgraph satisfying certain connectivity requirements. We study the vertex …

Optimal measurement network of pairwise differences

H Xu - Journal of Chemical Information and Modeling, 2019 - ACS Publications
When both the difference between two quantities and their individual values can be
measured or computationally predicted, multiple quantities can be determined from the …

Improved approximation for two-edge-connectivity

M Garg, F Grandoni, A Jabal Ameli - Proceedings of the 2023 Annual ACM …, 2023 - SIAM
The basic goal of survivable network design is to construct low-cost networks which
preserve a sufficient level of connectivity despite the failure or removal of a few nodes or …

Fault-tolerant geometric spanners

A Czumaj, H Zhao - Proceedings of the nineteenth annual symposium …, 2003 - dl.acm.org
We present two new results about vertex and edge fault-tolerant spanners in Euclidean
spaces. We describe the first construction of vertex and edge fault-tolerant spanners having …

A 4/3-approximation algorithm for the minimum 2-edge connected subgraph problem

C Hunkenschröder, S Vempala, A Vetta - ACM Transactions on …, 2019 - dl.acm.org
We present a factor 4/3 approximation algorithm for the problem of finding a minimum 2-
edge connected spanning subgraph of a given undirected multigraph. The algorithm is …

A 5/4-approximation algorithm for minimum 2-edge-connectivity

R Jothi, B Raghavachari, S Varadarajan - Proceedings of the fourteenth …, 2003 - dl.acm.org
A 5/4-approximation algorithm is presented for the minimum cardinality 2-edge-connected
spanning subgraph problem in undirected graphs. This improves the previous best …

Approximating k-edge-connected spanning subgraphs via a near-linear time LP solver

P Chalermsook, CC Huang, D Nanongkai… - arxiv preprint arxiv …, 2022 - arxiv.org
In the $ k $-edge-connected spanning subgraph ($ k $ ECSS) problem, our goal is to
compute a minimum-cost sub-network that is resilient against up to $ k $ link failures: Given …

An approximation algorithm for two-edge-connected subgraph problem via triangle-free two-edge-cover

Y Kobayashi, T Noguchi - arxiv preprint arxiv:2304.13228, 2023 - arxiv.org
The $2 $-Edge-Connected Spanning Subgraph problem (2-ECSS) is one of the most
fundamental and well-studied problems in the context of network design. In the problem, we …