Abstract

We study the following NP-hard graph augmentation problem: Given a weighted graph G and a connected spanning subgraph H of G, find a minimum weight set of edges of G to be added to H so that H becomes 2-edge-connected. We provide a formulation of the problem as a set covering problem, and we analyze the conditions for which the linear programming relaxation of our formulation always gives an integer solution. This yields instances of the problem that can be solved in polynomial time. As we will show in the paper, these particular instances have not only theoretical but also practical interest, since they model a wide range of survivability problems in communication networks.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.