In The Beginning: Roots of Domination in Graphs

Abstract

While domination in graphs was first formally defined by Berge in 1958, the roots of domination can be traced back to defense strategies used by the Roman Empire in the fourth century AD, to a precursor of the game of chess in India in the sixth century AD, and later in the mid-to-late 1800s, to a variety of chess problems. Other sources of domination can be found in a wide array of real-world areas such as radio broadcasting, computer communication networks, systems of distinct representatives, school bus routing, electrical power networks, influence in social networks, surveying, resource allocation, and even transporting hazardous materials.