# Adel P. Kazemi

## Total Dominator Chromatic Number of a Hypercube ★★

Author(s): Adel P. Kazemi

\begin{conjecture} For any integer $n\geq 5$, $\chi_d^t(Q_n)=2^{n-2}+2$. \end{conjecture}

## Total Domination number of a hypercube ★★★

Author(s): Adel P. Kazemi

\begin{conjecture} For any integer $n\geq 6$, $\gamma_t(Q_n) = 2^{n-2}$. \end{conjecture}

Keywords: Total domination number, Hypercube