The Independent Set Algorithm (Paperback) (ISBN-13: 9781466387690)

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.

Author: Ashay Dharwadker
ISBN-10: 1466387696
ISBN-13: 9781466387690
Publisher: Createspace Independent Publishing Platform
Language: English
Published: 10/02/2011
Pages: 46
Format: Paperback
Weight: 0.29lbs
Size: 11.00h x 8.50w x 0.12d