Domination in the Negation of Cayley Signed Graphs

In this paper, the authors study the concept of domination in the negation of Cayley signed graphs over finite abelian groups. They establish sharp bounds for the domination numbers and characterize the groups that attain these bounds. The study reveals that, for certain Cayley sets, the sum of the domination numbers of a Cayley signed graph and its negation exceeds the group’s order. The results are illustrated with several examples.