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Showing 1 to 3 of 3 for “"forbidden patterns"”.
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Bounds on extremal functions of forbidden patterns
Extremal functions of forbidden sequences and 0 - 1 matrices have applications to many problems in discrete geometry and enumerative combinatorics. We present a new computational method for deriving upper bounds on extremal functions of forbidden sequences. Then we use this method to prove tight …
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Forbidden-Patterns and Word Extensions for Concatenation Hierarchies
… we characterize these levels in terms of patterns in finite automata (subgraphs in the transition graph) that are not allowed. Therefore, such characterizations are called forbidden-pattern characterizations. The main results of the thesis are as follows: forbidden-pattern characterization …
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The Forbidden Pattern Approach to Concatenation Hierarchies
… progress on this question using the so-called forbidden pattern approach: Classes of regular languages are characterized in terms of patterns in finite automata (subgraphs in the transition graph) that are not allowed. Such a characterization immediately implies the decidability of the …