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The Independent Set Algorithm
Authored by
Ashay Dharwadker
We present a new polynomialtime 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.
 Publication Date:
 20111002
 ISBN/EAN13:
 1466387696 / 9781466387690
 Page Count:
 46
 Binding Type:
 US Trade Paper
 Trim Size:
 8.5" x 11"
 Language:
 English
 Color:
 Full Color
 Related Categories:
 Computers / Computer Science
