| Title: | Varieties of mutual-visibility and general position on Sierpiński graphs |
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| Authors: | ID Roy, Dhanya (Author)
ID Klavžar, Sandi (Author)
ID Lakshmanan S., Aparna (Author)
ID Tian, Jing (Author) |
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| Files: |  PDF - Presentation file, download (262,67 KB)
MD5: B81C1F63578DA1E9841AF3F27CDE3A85
 URL - Source URL, visit https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2625
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | The variety of mutual-visibility problems contains four members, as does the variety of general position problems. The basic problem is to determine the cardinality of the largest such sets. In this paper, these eight invariants are investigated on Sierpiński graphs $S_p^n$. They are determined for the Sierpiński graphs $S_p^2$, $p\ge 3$. All, but the outer mutual-visibility number and the outer general position number, are also determined for $S_3^n$, $n\ge 3$. In many of the cases the corresponding extremal sets are enumerated. |
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| Keywords: | mutual-visibility set, general position set, Sierpiński graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2026 |
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| Year of publishing: | 2026 |
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| Number of pages: | str. 693-710 |
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| Numbering: | Vol. 46, no. 3 |
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| PID: | 20.500.12556/DiRROS-31172  |
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| UDC: | 519.17 |
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| ISSN on article: | 1234-3099 |
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| DOI: | 10.7151/dmgt.2625 |
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| COBISS.SI-ID: | 285273347 |
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| Note: |
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| Publication date in DiRROS: | 17.07.2026 |
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| Views: | 30 |
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| Downloads: | 12 |
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| Metadata: |    |
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