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- W2585087454 abstract "Publisher Summary Shult proved that the only regular graphs having the triangle property are the void graphs, the graphs obtained from the symplectic and the orthogonal geometries over GF(2), and the complete graphs. This chapter presents a different proof of this result, together with a slight generalization. If regularity is replaced by the condition that no vertex is adjacent to all other vertices, then the same class of graphs is obtained, except for the complete graphs. The chapter presents some theorems on regular two-graphs and on switching of graphs, including another result by Shult. It also reviews symplectic and orthogonal geometries over GF (2) and their two-graphs. The chapter discusses the proof of Shult's theorem and application of this theorem to a problem originating from Lie algebras of characteristic 2." @default.
- W2585087454 created "2017-02-10" @default.
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- W2585087454 date "1973-01-01" @default.
- W2585087454 modified "2023-09-28" @default.
- W2585087454 title "On two-graphs, and Shult's characterization of symplectic and orthogonal geometries over GF(2)" @default.
- W2585087454 hasPublicationYear "1973" @default.
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