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The Monadic Quantifier Alternation Hierarchy over Grids and Graphs

✍ Scribed by Oliver Matz; Nicole Schweikardt; Wolfgang Thomas


Book ID
112252696
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
267 KB
Volume
179
Category
Article
ISSN
0890-5401

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Tree-width and the monadic quantifier hi
✍ J.A. Makowsky; J.P. MariΓ±o πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 269 KB

It is well known that on classes of graphs of bounded tree-width, every monadic second-order property is decidable in polynomial time. The converse is not true without further assumptions. It follows from the work of Robertson and Seymour, that if a class of graphs K has unbounded tree-width and is