| Naslov: | On 2-integral Cayley graphs |
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| Avtorji: | ID Abdollahi, Alireza (Avtor)
ID Arezoomand, Majid (Avtor)
ID Feng, Tao (Avtor)
ID Wang, Shixin (Avtor) |
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| Datoteke: |  AMC_Abdollahi,_Arezoomand,_Feng,_Wang_2026.pdf (481,80 KB)
MD5: D8EA13FAF0DAD2A739AC1834224506B7
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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: | In this paper, we introduce the concept of k-integral graphs. A graph Γ is called k-integral if the extension degree of the splitting field of the characteristic polynomial of Γ over rational field ℚ is equal to k. We prove that for any positive integers k and Δ, the set of all finite connected graphs with algebraic degree at most k and maximum degree at most Δ is finite. We study 2-integral Cayley graphs over finite groups G with respect to Cayley sets which are a union of conjugacy classes of G. Among other general results, we completely characterize all finite abelian groups having a connected 2-integral Cayley graph with valency 2, 3, 4 and 5. Furthermore, we classify the finite groups G that al Cayley graphs over G with bounded valency are 2-integral. |
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| Ključne besede: | Cayley graph, algebraic degree, characters of groups, integral eigenvalue |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 11.06.2026 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2026 |
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| Št. strani: | 21 str. |
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| Številčenje: | Vol. 26, no. 3, [article no.] P3.06 |
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| PID: | 20.500.12556/RUP-23515  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3351.3b6 |
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| Datum objave v RUP: | 18.08.2026 |
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| Število ogledov: | 28 |
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| Število prenosov: | 1 |
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| Metapodatki: |    |
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