Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi

On the PSU(4,2)-Invariant Vertex-Transitive Strongly Regular (216,40,4,8) Graph (CROSBI ID 277762)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Crnković, Dean ; Pavese, Francesco ; Švob, Andrea 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

Podaci o odgovornosti

Crnković, Dean ; Pavese, Francesco ; Švob, Andrea

engleski

On the PSU(4,2)-Invariant Vertex-Transitive Strongly Regular (216,40,4,8) Graph

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.

Strongly regular graph ; Hermitian surface ; Generalized quadrangle ; Projective geometry

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

36

2020.

503-513

objavljeno

0911-0119

1435-5914

10.1007/s00373-020-02132-5

Povezanost rada

Matematika

Poveznice
Indeksiranost