Pregled bibliografske jedinice broj: 1059139
On the PSU(4,2)-Invariant Vertex-Transitive Strongly Regular (216,40,4,8) Graph
On the PSU(4,2)-Invariant Vertex-Transitive Strongly Regular (216,40,4,8) Graph // Graphs and combinatorics, 36 (2020), 503-513 doi:10.1007/s00373-020-02132-5 (međunarodna recenzija, članak, znanstveni)
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Naslov
On the PSU(4,2)-Invariant Vertex-Transitive Strongly
Regular (216,40,4,8) Graph
Autori
Crnković, Dean ; Pavese, Francesco ; Švob, Andrea
Izvornik
Graphs and combinatorics (0911-0119) 36
(2020);
503-513
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Strongly regular graph ; Hermitian surface ; Generalized quadrangle ; Projective geometry
Sažetak
In 2018 the first, Rukavina and the third author constructed with the aid of a computer the first example of a strongly regular graph G with parameters (216, 40, 4, 8) and proved that it is the unique PSU(4, 2)-invariant vertex-transitive graph on 216 vertices. In this paper, using the geometry of the Hermitian surface of PG(3, 4), we provide a computer-free proof of the existence of the graph G. The maximal cliques of C are also determined.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Sveučilište u Rijeci, Fakultet za matematiku
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
