A Language-Theoretic Approach to the Heapability of Signed Permutations

Fuente: arXiv
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Autore principale: Istrate, Gabriel
Natura: Preprint
Pubblicazione: 2024
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author Istrate, Gabriel
author_facet Istrate, Gabriel
contents We investigate a signed version of the Hammersley process, a discrete process on words related to a property of integer sequences called heapability (Byers et al., ANALCO 2011). The specific version that we investigate corresponds to a version of this property for signed sequences. We give a characterization of the words that can appear as images the signed Hammersley process. In particular we show that the language of such words is the intersection of two deterministic one-counter languages.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14275
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Language-Theoretic Approach to the Heapability of Signed Permutations
Istrate, Gabriel
Combinatorics
Discrete Mathematics
Formal Languages and Automata Theory
We investigate a signed version of the Hammersley process, a discrete process on words related to a property of integer sequences called heapability (Byers et al., ANALCO 2011). The specific version that we investigate corresponds to a version of this property for signed sequences. We give a characterization of the words that can appear as images the signed Hammersley process. In particular we show that the language of such words is the intersection of two deterministic one-counter languages.
title A Language-Theoretic Approach to the Heapability of Signed Permutations
topic Combinatorics
Discrete Mathematics
Formal Languages and Automata Theory
url https://arxiv.org/abs/2405.14275