On Hamiltonian cycles in balanced $k$-partite graphs

Louis DeBiasio, Nicholas Spanier

For all integers $k$ with $k\ge 2$, if $G$ is a balanced $k$-partite graph on $n\ge 3$ vertices with minimum degree at least \[ \left\lceil\frac{n}{2}\right\rceil+\left\lfloor\fr…