On minimum connected dominating set problem in unit-ball graphs

Given a graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D such that its induced subgraph is connected and each vertex outside D has at least one neighbor in D. Approximations of minimum connected dominating sets are often used to represent a virtual routing backbone in wireless networks. This paper proposes a constant-ratio approximation algorithm for the minimum connected dominating set problem in unit-ball graphs.