Question

Understanding the size of the problem (this helps us estimate how much runtime might be needed to generate a 'good enough' solution).

Provide an algebraic expression in terms of n for the size of the phenotypic search space (the number of possible sets of vertices).
Designing the algorithm.

Answer 1

The size of the phenotypic search space can be represented algebraically as 2^n, where n is the number of vertices.

Step-by-step explanation:

The size of the phenotypic search space (the number of possible sets of vertices) can be represented algebraically in terms of n. Let's assume that we have n vertices. To find the size of the search space, we need to determine the number of possible sets of vertices. Since each vertex can either be included or excluded in a set, there are 2 options for each vertex. Therefore, the total number of sets is 2 raised to the power of n. So, the algebraic expression for the size of the phenotypic search space is 2^n.