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Computing Excluded Minors

Abstract:

By Robertson and Seymour's graph minor theorem, every minor ideal can be characterised by a finite family of excluded minors. (A minor ideal is a class of graphs closed under taking minors.) We study algorithms for computing excluded minor characterisations of minor ideals. We propose a general method for obtaining such algorithms, which is based on definability in monadic second-order logic and the decidability of the monadic second-order theory of trees. A straightforward application...

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Host title:
ACM−SIAM Symposium on Discrete Algorithms (SODA)
Publication date:
2008-01-01
UUID:
uuid:14ffec47-d9cc-4edd-9aec-ac9f2287d137
Local pid:
cs:1719
Deposit date:
2015-03-31

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