Solution:

Let the predicate be,

$ \max \{g(x, y)\}-\min \{g(x, y)\}\ltt_h \text {. } $

where $t_h$ is the threshold. consider $t_h \leq 3$,

$ \begin{aligned} &\therefore P\left(R_i\right)=\max \{g(x, y)\}-\min \{g(x, y)\}\lt3 \\ &(x, y \in R)(x, y \in R) \end{aligned} $

Assume 4 connectivity Let us start with the …