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Pseudobasin of attraction for combinatorial dynamical systems: theory and its application to combinatorial optimization

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1 Author(s)
Jaewook Lee ; Dept. of Ind. Eng., Pohang Univ. of Sci. & Technol., Kyungbuk, South Korea

In this brief, a concept of a pseudobasin (a generalized concept of a basin of attraction) for a class of combinatorial dynamical system is introduced. A fairly comprehensive theory of its algebraic and topological structure is developed. A systematic method to solve a combinatorial optimization problem is also developed. Utilizing the theoretical results of pseudobasin, the convergence of the proposed method to a so-called stable local minimum is given.

Published in:

IEEE Transactions on Circuits and Systems II: Express Briefs  (Volume:52 ,  Issue: 4 )