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A note on the P-time algorithms for solving the maximum independent set problem

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4 Author(s)
Esfahani, N.N. ; Dept. of Electr. & Comput. Eng., Isfahan Univ. of Technol., Isfahan, Iran ; Mazrooei, P. ; Mahdaviani, K. ; Omoomi, B.

In this article, the problem of finding maximum (weight) independent set (M(W)IS) is investigated. It is known that this problem belongs to the class of NP-hard problems. Although, there are polynomial time (P-time) algorithms to solve the M(W)IS problem for some special classes of graphs. Here, we propose a general scheme which extends all of classes that the M(W)IS problem is solvable for them in P-time. This general scheme, based on any P-time algorithm for a class of graphs C, generates a new P-time algorithm to solve the M(W)IS problem for graphs in an extension of the class C. Moreover, this new algorithm is robust.

Published in:

Data Mining and Optimization, 2009. DMO '09. 2nd Conference on

Date of Conference:

27-28 Oct. 2009