On the construction of non-transitive graphs from groups

Vedrana Mikuli\'{c} Crnkovi\'{c}
Department of Mathematics, University of Rijeka

Dean Crnković
Department of Mathematics, University of Rijeka

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Minisymposium: GENERAL SESSION TALKS

Content: Let $G$ be a transitive group acting on a set $\Omega$, $P$ a subgroup of $G$ and $\Delta$ be a union of some $P$ orbits on $\Omega$. Then $\Delta$ is the base block of the $1$-design. In this talk we will apply this known method of construction of $1$-designs, on which the group $G$ acts as the transitive automorphism group, to construct regular graphs, on which the group $G$ acts as non-transitive automorphism group.

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