The maximum common subgraph problem
In the maximum common subgraph (MCS) problem, we are given a pair of graphs and asked to find the largest induced subgraph common to them both. With its plethora of applications, MCS is a familiar and challenging problem. Many algorithms exist that can deliver optimal MCS solutions, but whose asympt...
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| المؤلف الرئيسي: | |
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| مؤلفون آخرون: | , , |
| التنسيق: | conferenceObject |
| منشور في: |
2017
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| الوصول للمادة أونلاين: | http://hdl.handle.net/10725/5404 http://dx.doi.org/10.1109/AICCSA.2007.370907 http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php http://ieeexplore.ieee.org/abstract/document/4230982/ |
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| الملخص: | In the maximum common subgraph (MCS) problem, we are given a pair of graphs and asked to find the largest induced subgraph common to them both. With its plethora of applications, MCS is a familiar and challenging problem. Many algorithms exist that can deliver optimal MCS solutions, but whose asymptotic worst-case run times fail to do better than mere brute-force, which is exponential in the order of the smaller graph. In this paper, we present a faster solution to MCS. We transform an essential part of the search process into the task of enumerating maximal independent sets in only a part of only one of the input graphs. This is made possible by exploiting an efficient decomposition of a graph into a minimum vertex cover and the maximum independent set in its complement. The result is an algorithm whose run time is bounded by a function exponential in the order of the smaller cover rather than in the order of the smaller graph. |
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