Complex-network analysis of combinatorial spaces: The NK landscape case



Tomassini M, Verel S & Ochoa G (2008) Complex-network analysis of combinatorial spaces: The NK landscape case. Physical Review E, 78 (6).

We propose a network characterization of combinatorial fitness landscapes by adapting the notion of inherent networks proposed for energy surfaces. We use the well-known family of NK landscapes as an example. In our case the inherent network is the graph whose vertices represent the local maxima in the landscape, and the edges account for the transition probabilities between their corresponding basins of attraction. We exhaustively extracted such networks on representative NK landscape instances, and performed a statistical characterization of their properties. We found that most of these network properties are related to the search difficulty on the underlying NK landscapes with varying values of K.

Physical Review E: Volume 78, Issue 6

Publication date31/12/2008
PublisherAmerican Physical Society

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Professor Gabriela Ochoa

Professor Gabriela Ochoa

Professor, Computing Science