A Mathematical Design of Genetic Operators on 𝐺𝐿_𝑛(ℤ₂)

Figure 5

An example of directed acyclic graph. 𝐻(𝑃₁,𝑃₂)=5, 𝐻(𝑃₁,𝑂)=3, and 𝐻(𝑃₂,𝑂)=3, where 𝐻 is the Hamming distance on typical 2D binary encoding.

(a) DAG representation of parents given in Figure 2(a)

(b) An offspring 𝑂 generated by a simple DAG recombination

(c) Matrix form of the offspring 𝑂