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 …

Power Assignment for k-Connectivity in Wireless Ad Hoc Networks

X Jia, D Kim, S Makki, PJ Wan, CW Yi - Journal of Combinatorial …, 2005 - Springer
Abstract The problem Min-Power k-Connectivity seeks a power assignment to the nodes in a
given wireless ad hoc network such that the produced network topology is k-connected and …

A 2-approximation algorithm for finding an optimum 3-vertex-connected spanning subgraph

V Auletta, Y Dinitz, Z Nutov, D Parente - Journal of Algorithms, 1999 - Elsevier
The problem of finding a minimum weight k-vertex connected spanning subgraph in a graph
G=(V, E) is considered. For k≥ 2, this problem is known to be NP-hard. Combining …

Approximating node connectivity problems via set covers

G Kortsarz, Z Nutov - Algorithmica, 2003 - Springer
Given a graph (directed or undirected) with costs on the edges, and an integer k, we
consider the problem of finding a k-node connected spanning subgraph of minimum cost …

Network design for vertex connectivity

T Chakraborty, J Chuzhoy, S Khanna - Proceedings of the fortieth annual …, 2008 - dl.acm.org
We study the survivable network design problem (SNDP) for vertex connectivity. Given a
graph G (V, E) with costs on edges, the goal of SNDP is to find a minimum cost subset of …

Monocular slam with locally planar landmarks via geometric rao-blackwellized particle filtering on lie groups

J Kwon, KM Lee - 2010 IEEE Computer Society Conference on …, 2010 - ieeexplore.ieee.org
We propose a novel geometric Rao-Blackwellized particle filtering framework for monocular
SLAM with locally planar landmarks. We represent the states for the camera pose and the …

An algorithm for (n− 3)-connectivity augmentation problem: Jump system approach

K Bérczi, Y Kobayashi - Journal of Combinatorial Theory, Series B, 2012 - Elsevier
We consider the problem of making a given (k− 1)-connected graph k-connected by adding
a minimum number of new edges, which we call the k-connectivity augmentation problem. In …

A 4+ ϵ approximation for k-connected subgraphs

Z Nutov - Journal of Computer and System Sciences, 2022 - Elsevier
We obtain approximation ratio 4+ 2 ℓ≈ 4+ 4 lg⁡ k lg⁡ n− lg⁡ k for the (undirected) k-
Connected Subgraph problem, where ℓ=⌊ lg⁡ n− lg⁡ k+ 1 2 lg⁡ k+ 1⌋ is the largest integer …

Algorithms for single-source vertex connectivity

J Chuzhoy, S Khanna - 2008 49th Annual IEEE Symposium on …, 2008 - ieeexplore.ieee.org
In the survivable network design problem (SNDP) the goal is to find a minimum cost subset
of edges that satisfies a given set of pairwise connectivity requirements among the vertices …

Relay placement for fault tolerance in wireless networks in higher dimensions

A Kashyap, S Khuller, M Shayman - Computational Geometry, 2011 - Elsevier
In this paper we consider the problem of adding the smallest number of additional (relay)
nodes to a network of static nodes with limited communication range so that the induced …