Unmanned Aerial Vehicle in the Logistics of Pandemic Vaccination: An Exact Analytical Approach for Any Number of Vaccination Centres

. 2022 Oct 20;10(10):2102. doi: 10.3390/healthcare10102102

Domains: $\bar{D}$	Equivalent graphs
${\bar{D}}_{1}$ ( $\frac{1}{\frac{n}{2}} < \frac{d}{C} \leq \frac{1}{\frac{n}{2} - 1})$	G{n, N = 3, ( $\frac{n}{2} - 1$ , $\frac{n}{2} - 1, 2)$ }
$k_{1} (d) = \frac{n}{2} - 1$	G{n, N = 3, ( $\frac{n}{2} - 1$ , $\frac{n}{2} - 2, 3)$ }
	\|, with m = { $\begin{matrix} \frac{n}{4} - \frac{3}{2}, n \in {6 + 4 k / k \in I N} \\ \frac{n}{4} - 2, n \in {8 + 4 k / k \in I N} \end{matrix}$
	G{n, N = 3, ( $\frac{n}{2} - 1$ , $\frac{n}{2} - 1 - m, 2 + m)$ }
${\bar{D}}_{2}$ ( $\frac{1}{\frac{n}{2} - 1} < \frac{d}{C} \leq \frac{1}{\frac{n}{2} - 2})$	G{n, N = 3, ( $\frac{n}{2} - 2$ , $\frac{n}{2} - 2, 4)$ }
$k_{1} (d) = \frac{n}{2} - 2$	G{n, N = 3, ( $\frac{n}{2} - 2$ , $\frac{n}{2} - 3, 5)$ }
	\|, with m = { $\begin{matrix} \frac{n}{4} - 3, n \in {12 + 4 k / k \in I N} \\ \frac{n}{4} - \frac{7}{2}, n \in {14 + 4 k / k \in I N} \end{matrix}$
	G{n, N = 3, ( $\frac{n}{2} - 2$ , $\frac{n}{2} - 2 - m, 4 + m)$ }
${\bar{D}}_{3}$ ( $\frac{1}{\frac{n}{2} - 2} < \frac{d}{C} \leq \frac{1}{\frac{n}{2} - 3})$	G{n, N = 3, ( $\frac{n}{2} - 3$ , $\frac{n}{2} - 3, 6)$ }
$k_{1} (d) = \frac{n}{2} - 3$	G{n, N = 3, ( $\frac{n}{2} - 3$ , $\frac{n}{2} - 4, 7)$ }
	\|, with m = { $\begin{matrix} \frac{n}{4} - \frac{9}{2}, n \in {18 + 4 k / k \in I N} \\ \frac{n}{4} - 5, n \in {20 + 4 k / k \in I N} \end{matrix}$
	G{n, N = 3, ( $\frac{n}{2} - 3$ , $\frac{n}{2} - 3 - m, 6 + m)$ }
${\bar{D}}_{q}$ ( $\frac{1}{\frac{n}{2} - q + 1} < \frac{d}{C} \leq \frac{1}{\frac{n}{2} - q})$	G{n, N = 3, ( $\frac{n}{2} - q$ , $\frac{n}{2} - q, 2 q)$ }
$k_{1} (d) = \frac{n}{2} - q$	G{n, N = 3, ( $\frac{n}{2} - q$ , $\frac{n}{2} - q - 1, 2 q + 1)$ }
	\|, with m = { $\begin{matrix} \frac{n}{4} - \frac{3 q}{2}, n \in {6 q + 4 k / k \in I N} \\ \frac{n}{4} - \frac{(3 q + 1)}{2}, n \in {6 q + 2 + 4 k / k \in I N} \end{matrix}$
	G{n, N = 3, ( $\frac{n}{2} - q$ , $\frac{n}{2} - q - m, 2 q + m)$ }