6533b820fe1ef96bd127a312

RESEARCH PRODUCT

On the Existence of 1-Bounded Bi-ideals with the WELLDOC Property

Raivis BetsJanis Buls

subject

Discrete mathematicsAlgebraProperty (philosophy)Computer scienceBounded functionAlphabetComputer-aided software engineeringMathematical proofElectronic mail

description

A combinatorial condition called well distributedoccurrences, or WELLDOC for short, has been introducedrecently. The proofs that WELLDOC property holds for thefamily of Sturmian words, and more generally, for Arnoux-Rauzy words are given in two papers by Balkova et al. The WELLDOC property for bounded bi-ideals is analysed inthis paper. The existence of a 1-bounded bi-ideal over thefinite alphabet that satisfies the WELLDOC property has beenproved by the authors.

https://doi.org/10.1109/synasc.2015.57