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On the existence and number of $(k+1)$-kings in $k$-quasi-transitive digraphs
digraph k-king quasi-transitive digraph k-quasi-transitive digraph
2012/6/30
Let $D=(V(D), A(D))$ be a digraph and $k \ge 2$ an integer. We say that $D$ is $k$-quasi-transitive if for every directed path $(v_0, v_1,..., v_k)$ in $D$, then $(v_0, v_k) \in A(D)$ or $(v_k, v_0) \...
Fissioned triangular schemes via sharply 3-transitive groups
triangular scheme fusion scheme fission scheme orthogonal space orthogonal groups
2011/8/23
Abstract: n [D. de Caen, E.R. van Dam. Fissioned triangular schemes via the cross-ratio, {Europ. J. Combin.}, 22 (2001) 297-301], de Caen and van Dam constructed a fission scheme $\FT(q+1)$ of the tri...