# 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

PDF

**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.