Let G = (V, E) be a simple graph. A set D V is a dominating set of G if every vertex of V - D is adjacent to a vertex of D. The domination number of G, denoted by (G), is the min...
Hua-Ming Xing, Johannes H. Hattingh, Andrew R. Plu...
Let F be a 2-factorization of the complete graph Kv admitting an automorphism group G acting primitively on the set of vertices. If F consists of Hamiltonian cycles, then F is the...
We give tight bounds on the parallel complexity of some problems involving random graphs. Speci cally, we show that a Hamiltonian cycle, a breadth rst spanning tree, and a maximal...