| Title: | Mutual-visibility and general position sets in Sierpiński triangle graphs |
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| Authors: | ID Korže, Danilo (Author)
ID Vesel, Aleksander (Author) |
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| Files: |  s40840-025-01887-5_(1).pdf (580,63 KB)
MD5: 6D7AE957E33217AB44DB5CEDE06C9378
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | For a given graph G, the general position problem asks for the largest size of a set of vertices M ⊆ V(G) such that no three distinct vertices of M belong to a common shortest path in G. A relaxation of this concept is based on the condition that two vertices x, y ∈ V(G) are M-visible, meaning there exists a shortest x, y-path in G that does not pass through any vertex of M \ {x, y}. If every pair of vertices in M is M-visible, then M is called a mutual-visibility set of G. The cardinality of the largest mutual-visibility set of G is called the mutual-visibility number of G. Some wellknown variations of this concept consider the total, outer, and dual mutual-visibility sets of a graph. We present results on the general position problem and the various mutual-visibility problems in Sierpi ´nski triangle graphs. |
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| Keywords: | general position, mutual visibility, Sierpinski triangle graph |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 30.04.2025 |
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| Article acceptance date: | 05.05.2025 |
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| Publication date: | 23.05.2025 |
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| Publisher: | Springer Link |
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| Year of publishing: | 2025 |
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| Number of pages: | 19 str. |
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| Numbering: | Vol. 48, [article no.] 106 |
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| PID: | 20.500.12556/DKUM-92987  |
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| UDC: | 519.17 |
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| ISSN on article: | 2180-4206 |
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| COBISS.SI-ID: | 237461251 |
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| DOI: | 10.1007/s40840-025-01887-5 |
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| Copyright: | © 2025, The Author(s) |
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| Publication date in DKUM: | 29.05.2025 |
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| Views: | 238 |
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| Downloads: | 8 |
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| Metadata: |    |
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| Categories: | Misc.
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