👉 In mathematics and computer science, a binary-dominated set is a subset of a graph that dominates all other subsets of the same size. This concept is widely used in network theory to study the behavior of graphs where nodes are either dominated by edges or not. These sets are named after their dominance over other subsets of the same size. For example, consider a graph with 5 vertices and 3 edges. The set of all nodes that are dominated by 2 edges would be called a binary-dominated set