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 …

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 …

Approximability of dense and sparse instances of minimum 2-connectivity, TSP and path problems

B Csaba, M Karpinski, P Krysta - … of the thirteenth annual ACM-SIAM …, 2002 - dl.acm.org
We study the approximability of dense and sparse instances of the following problems: the
minimum 2-edge-connected (2-EC) and 2-vertex-connected (2-VC) spanning subgraph …

Finding 2-factors closer to TSP tours in cubic graphs

S Boyd, S Iwata, K Takazawa - SIAM Journal on Discrete Mathematics, 2013 - SIAM
In this paper we are interested in algorithms for finding 2-factors that cover certain
prescribed edge-cuts in bridgeless cubic graphs. Since a Hamilton cycle is a 2-factor …

[HTML][HTML] A 54-approximation for subcubic 2EC using circulations and obliged edges

S Boyd, Y Fu, Y Sun - Discrete Applied Mathematics, 2016 - Elsevier
In this paper we study the NP-hard problem of finding a minimum size 2-edge-connected
spanning subgraph (henceforth 2EC) in cubic and subcubic multigraphs. We present a new …

Degree-based spanning tree optimization

G Salamon - 2010 - search.proquest.com
Abstract Design process, operation and maintenance of telecommunication networks are
dynamically developing research areas. Graphs are often used as mathematical models of …

Finding 2-edge connected spanning subgraphs

WT Huh - Operations Research Letters, 2004 - Elsevier
This paper studies the NP-hard problem of finding a minimum size 2-edge connected
spanning subgraph (2-ECSS). An algorithm is given that on an r-edge connected input …

An Improved Analysis for Approximating the Smallest k-Edge Connected Spanning Subgraph of a Multigraph

HN Gabow - SIAM Journal on Discrete Mathematics, 2005 - SIAM
Khuller and Raghavachari J. Algorithms, 21 (1996), pp. 434--450 present an approximation
algorithm (the KR algorithm) for finding the smallest k-edge connected spanning subgraph …

A new approximation algorithm for the minimum 2-edge-connected spanning subgraph problem

A Çivril - Theoretical Computer Science, 2023 - Elsevier
We present a new approximation algorithm for the minimum 2-edge-connected spanning
subgraph problem. Its approximation ratio is 4 3, which matches the current best ratio. The …

On the hardness of constructing minimal 2-connected spanning subgraphs in complete graphs with sharpened triangle inequality

HJ Böckenhauer, D Bongartz, J Hromkovič… - … on Foundations of …, 2002 - Springer
In this paper we investigate the problem of finding a 2-connected spanning subgraph of
minimal cost in a complete and weighted graph G. This problem is known to be APX-hard …