6533b820fe1ef96bd12790a3

RESEARCH PRODUCT

DEFECT THEOREMS FOR TREES

Sabrina MantaciJuhani Karhumäki

subject

Discrete mathematicsPrefixCombinatoricsSet (abstract data type)Combinatorics on wordsAlgebra and Number TheoryComputational Theory and MathematicsInformationSystems_INFORMATIONSTORAGEANDRETRIEVALRank (graph theory)Computer Science::Formal Languages and Automata TheoryInformation SystemsTheoretical Computer ScienceMathematics

description

We generalize different notions of a rank of a set of words to sets of trees. We prove that almost all of those ranks can be used to formulate a defect theorem. However, as we show, the prefix rank forms an exception.

https://doi.org/10.1142/9789812792464_0014