| Title: | Counting largest mutual-visibility and general position sets of glued $t$-ary trees |
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| Authors: | ID Klavžar, Sandi (Author) ID Lakshmanan S., Aparna (Author) ID Roy, Dhanya (Author) |
| Files: | PDF - Presentation file, download (515,40 KB) MD5: 201F8E29CCD1EE13BB71A5A9B16E3946
URL - Source URL, visit https://link.springer.com/article/10.1007/s00025-025-02529-9
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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: | All four invariants of the mutual-visibility problem and, all four invariants of the general position problem are determined for glued binary trees. The number of the corresponding extremal sets is obtained in each of the eight situations. The results are further extended to glued $t$-ary trees, and some of them also to generalized glued binary trees. |
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| Keywords: | mutual-visibility set, general position set, glued binary tree, glued t-ary tree, generalized glued binary tree, enumeration |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.11.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | 14 str. |
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| Numbering: | Vol. 80, iss. 7, [article no.] 207 |
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| PID: | 20.500.12556/DiRROS-23802  |
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| UDC: | 519.17 |
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| ISSN on article: | 1422-6383 |
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| DOI: | 10.1007/s00025-025-02529-9  |
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| COBISS.SI-ID: | 251612931  |
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| Note: |
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| Publication date in DiRROS: | 03.10.2025 |
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| Views: | 256 |
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| Downloads: | 108 |
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