Some results on digital segments and balanced words

We exhibit combinatorial results on Christoffel words and binary balanced words that are motivated by their geometric interpretation as approximations of digital segments. We give a closed formula for counting the exact number of balanced words with a zeroes and b ones. We also study minimal non-balanced words.

Authors

Publication Details

Journal
Theoretical Computer Science
Published
2024-10-24
DOI
https://doi.org/10.1016/j.tcs.2024.114935
Citations
1
Primary Topic
Digital Image Processing Techniques
Type
article
Field-Weighted Citation Impact
0.25
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article

Some results on digital segments and balanced words

Gabriele Fici, Alessandro De Luca
1 citations
Theoretical Computer Science
Digital Image Processing Techniques
0.25
article

Some results on digital segments and balanced words

Gabriele Fici, Alessandro De Luca
article en
1 citations

Abstract

We exhibit combinatorial results on Christoffel words and binary balanced words that are motivated by their geometric interpretation as approximations of digital segments. We give a closed formula for counting the exact number of balanced words with a zeroes and b ones. We also study minimal non-balanced words.

Theoretical Computer ScienceVol. 1021
Openalex Percentile: Top 46%
Digital Image Processing Techniques
0.25
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Some results on digital segments and balanced words — Gabriele Fici, Alessandro De Luca · Theoretical Computer Science (2024) | TGRS Research Map | TGRS