Speaker
Matea Zubović Žutolija
(Faculty of Mathematics, University of Rijeka)
Description
Regular directed graph $\Gamma$ of degree $k$ with $n$ vertices is directed strongly regular graph, $DSRG(n,k,\lambda,\mu,t)$, if number of directed paths of length two from every vertex $v$ to every vertex $w$ is $\lambda$ if there exists directed edge $v\to w$, $t$ if $v=w$ and $\mu$ if there is no edge $v\to w$. Directed strongly regular graphs were introduced by Art Duval in 1988.
One can construct 1-design by defining a basic block as union of $G_{\alpha}$-orbits of transitive permutation group. Using that, we construct directed regular and strongly regular graphs from transitive groups.
Primary authors
Matea Zubović Žutolija
(Faculty of Mathematics, University of Rijeka)
Prof.
Vedrana Mikulić Crnković
(Faculty of Mathematics, University of Rijeka)
