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