Pregled bibliografske jedinice broj: 758411
A Class of Symmetric Association Schemes as Inclusion of Biplanes
A Class of Symmetric Association Schemes as Inclusion of Biplanes // Ars combinatoria, 138 (2018), 63-75 (međunarodna recenzija, članak, znanstveni)
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Naslov
A Class of Symmetric Association Schemes as Inclusion of Biplanes
Autori
Martinjak, Ivica
Izvornik
Ars combinatoria (0381-7032) 138
(2018);
63-75
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
association scheme ; Bose-Mesner algebra ; biplane ; partially balanced incomplete design ; automorphism group
Sažetak
Let B be a nontrivial biplane of order k-2 represented by symmetric canonical incidence matrix with trace 1+binom{; ; ; k}; ; ; {; ; ; 2}; ; ; . We prove that B includes a partially balanced incomplete block design with 3-class association scheme. Consequently, these structures are symmetric, having 2k-6 points. We also present some representatives of this class of symmetric association schemes.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Ivica Martinjak
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
