Iren Darijani

collaborators

2 papers

math.CO2022

Arc-disjoint hamiltonian paths in Cartesian products of directed cycles

Iren Darijani, Babak Miraftab, Dave Witte Morris

We show that if $C_{1}$ and $C_{2}$ are directed cycles (of length at least two), then the Cartesian product $C_{1} □ C_{2}$ has two arc-disjoint hamiltonian paths. (This answers a ques…

math.CO2019

Colourings of star systems

Iren Darijani, David Pike

An $e$ -star is a complete bipartite graph $K_{1, e}$ . An $e$ -star system of order $n > 1$ , $S_{e} (n)$ , is a partition of the edges of the complete graph $K_{n}$ into $e$ -stars. An $e$ -sta…