| Naslov: | Mutual-visibility problems in Kneser and Johnson graphs |
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| Avtorji: | ID Boruzanli Ekinci, Gülnaz (Avtor)
ID Bujtás, Csilla (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (427,55 KB)
MD5: 528E7AEC3E608DBA2122D7B978E56F92
 URL - Izvorni URL, za dostop obiščite https://amc-journal.eu/index.php/amc/article/view/3344
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | Let $G$ be a connected graph and $X \subseteq V(G)$. By definition, two vertices $u$ and $v$ are $X$-visible in $G$ if there exists a shortest $u, v$-path with all internal vertices being outside of the set $X$. The largest size of $X$ such that any two vertices of $G$ (resp. any two vertices from $X$) are $X$-visible is the total mutual-visibility number (resp. the mutual-visibility number) of $G$. In this paper, we determine the total mutual-visibility number of Kneser graphs, bipartite Kneser graphs, and Johnson graphs. The formulas proved for Kneser, and bipartite Kneser graphs are related to the size of transversal-critical uniform hypergraphs, while the total mutual-visibility number of Johnson graphs is equal to a hypergraph Turán number. Exact values or estimates for the mutual-visibility number over these graph classes are also established. |
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| Ključne besede: | mutual-visibility set, total mutual-visibility set, Kneser graph, bipartite Kneser graph, Johnson graph, Turán-type problem, covering design |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 16 str. |
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| Številčenje: | Vol. 25, no. 3, article no. P3.07 |
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| PID: | 20.500.12556/DiRROS-27987  |
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| UDK: | 519.17 |
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| ISSN pri članku: | 1855-3966 |
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| DOI: | 10.26493/1855-3974.3344.4c8 |
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| COBISS.SI-ID: | 270605059 |
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| Opomba: |
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| Datum objave v DiRROS: | 05.03.2026 |
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| Število ogledov: | 1706 |
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| Število prenosov: | 245 |
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| Metapodatki: |    |
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