Words avoiding the morphic images of most of their factors.
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| Title: | Words avoiding the morphic images of most of their factors. |
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| Authors: | Ochem, Pascal1, Rosenfeld, Matthieu1 |
| Source: | Discrete Mathematics & Theoretical Computer Science (DMTCS). 2025, Vol. 27 Issue 3, p1-7. 7p. |
| Subjects: | Factorization, Mathematic morphism |
| Abstract: | We say that a finite factor f of a word w is imaged if there exists a non-erasing morphism m, distinct from the identity, such that w contains m(f). We show that every infinite word contains an imaged factor of length at least 6 and that 6 is best possible. We show that every infinite binary word contains at least 36 distinct imaged factors and that 36 is best possible. [ABSTRACT FROM AUTHOR] |
| Copyright of Discrete Mathematics & Theoretical Computer Science (DMTCS) is the property of Discrete Mathematics & Theoretical Computer Science DMTCS and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 188966929 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Words avoiding the morphic images of most of their factors. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ochem%2C+Pascal%22">Ochem, Pascal</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Rosenfeld%2C+Matthieu%22">Rosenfeld, Matthieu</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+Mathematics+%26+Theoretical+Computer+Science+%28DMTCS%29%22">Discrete Mathematics & Theoretical Computer Science (DMTCS)</searchLink>. 2025, Vol. 27 Issue 3, p1-7. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Factorization%22">Factorization</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematic+morphism%22">Mathematic morphism</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We say that a finite factor f of a word w is imaged if there exists a non-erasing morphism m, distinct from the identity, such that w contains m(f). We show that every infinite word contains an imaged factor of length at least 6 and that 6 is best possible. We show that every infinite binary word contains at least 36 distinct imaged factors and that 36 is best possible. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete Mathematics & Theoretical Computer Science (DMTCS) is the property of Discrete Mathematics & Theoretical Computer Science DMTCS and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=188966929 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 1 Subjects: – SubjectFull: Factorization Type: general – SubjectFull: Mathematic morphism Type: general Titles: – TitleFull: Words avoiding the morphic images of most of their factors. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ochem, Pascal – PersonEntity: Name: NameFull: Rosenfeld, Matthieu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 09 Text: 2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 13658050 Numbering: – Type: volume Value: 27 – Type: issue Value: 3 Titles: – TitleFull: Discrete Mathematics & Theoretical Computer Science (DMTCS) Type: main |
| ResultId | 1 |
