Breaching the 2-Approximation Barrier for Connectivity Augmentation

Explore a groundbreaking conference talk on connectivity augmentation in network design. Delve into the challenge of improving network survivability by adding links to increase connectivity. Learn about the state-of-the-art approaches, including the classification of links and the reduction to the Steiner Tree problem. Discover a novel marking scheme and analysis that breaks the long-standing 2-approximation barrier. Gain insights into the upper bound for cost and the approximation factor analysis. Conclude with a discussion on open problems in this critical area of network optimization and survivability.

Intro
Introduction: Survivable Network Design
Connectivity Augmentation Problem
State of the art
Classification of Links
Cross
Reduction to Steiner Tree
Reduction to the Steiner Tree Problem
Reduction from CAP to Steiner Tree
Lower Bound
Obtaining Approximation Algorithm
Steiner Tree Algorithm
Our Marking Scheme
Upper Bound for c
Analysis of the Approximation Factor
Grouping
Open Problems