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Searching for Backbones and Fat A LimitCrossing Approach with Applications.pdf

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Searching for Backbones and Fat A LimitCrossing Approach with Applications

Proc. AAAI-02, to appear. Searching for Backbones and Fat: A Limit-Crossing Approach with Applications Sharlee Climer and Weixiong Zhang Computer Science Department Washington University St. Louis, MO 63130 Email: sclimer,zhang @ Abstract variables are found, we permanently delete them so as to reduce the size of the problem to be solved. Backbone variables are the elements that are common to all optimal solutions of a problem instance. We call variables Our technique for discovering backbones and fat is a that are absent from every optimal solution fat variables. product of a general graph reduction technique which we Identiﬁcation of backbone and fat variables is a valuable as- call limit crossing. In this paper, we formulate the concept set when attempting to solve complex problems. In this pa- of limit crossing formally and prove its validity along with per, we demonstrate a method for identifying backbones and other related properties. Then we exploit limit crossing and fat. Our method is based on an intuitive concept, which we devise a mechanism for discovering backbone and fat arcs refer to as limit crossing. Limit crossing occ