The Independent

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The Independent Set Algorithm

Author: Ashay Dharwadker
language: en
Publisher: Institute of Mathematics
Release Date: 2006-08-08
We present a new polynomial-time algorithm for finding maximal independent sets in graphs. As a corollary, we obtain new bounds on the famous Ramsey numbers in terms of the maximum and minimum vertex degrees of the corresponding Ramsey graphs. The algorithm finds a maximum independent set in all known examples of graphs. In view of the importance of the P versus NP question, we ask if there exists a graph for which the algorithm cannot find a maximum independent set. The algorithm is demonstrated by finding maximum independent sets for several famous graphs, including two large benchmark graphs with hidden maximum independent sets. We implement the algorithm in C++ and provide a demonstration program for Microsoft Windows.
Reauthorization of the Independent Counsel Statute

Author: United States. Congress. House. Committee on the Judiciary. Subcommittee on Commercial and Administrative Law
language: en
Publisher:
Release Date: 2000