Minimum Subgraph Complementation Problem Explored
Analysis
This paper addresses the Minimum Subgraph Complementation (MSC) problem, an optimization variant of a well-studied NP-complete decision problem. It's significant because it explores the algorithmic complexity of MSC, which has been largely unexplored. The paper provides polynomial-time algorithms for MSC in several non-trivial settings, contributing to our understanding of this optimization problem.
Key Takeaways
- •The paper investigates the algorithmic complexity of the Minimum Subgraph Complementation (MSC) problem.
- •Polynomial-time algorithms are provided for MSC in specific graph classes (bipartite, co-bipartite, split, etc.).
- •MSC to disconnected and 2-connected graphs can be solved in polynomial time.
Reference
“The paper presents polynomial-time algorithms for MSC in several nontrivial settings.”