| Naslov: | Mutual-visibility problems in Kneser and Johnson graphs |
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| Avtorji: | ID Boruzanlı Ekinci, Gülnaz (Avtor)
ID Bujtás, Csilla (Avtor) |
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| Datoteke: |  AMC_Boruzanlı_Ekinci,Bujtas_2025.pdf (426,16 KB)
MD5: D14816B3358086FC4A142E10A796B879
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | ZUP - Založba Univerze na Primorskem
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| Opis: | Let G be a connected graph and X ⊆ 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 estimations 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: | 06.06.2025 |
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| Založnik: | Založba Univerze na Primorskem |
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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/RUP-22011  |
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| UDK: | 519.17 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3344.4c8 |
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| Datum objave v RUP: | 22.10.2025 |
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| Število ogledov: | 280 |
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| Število prenosov: | 6 |
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| Metapodatki: |    |
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