E. Dahlhaus et P. Damaschke, A PARALLEL SOLUTION OF DOMINATION PROBLEMS ON CHORDAL AND STRONGLY CHORDAL GRAPHS, Discrete applied mathematics, 52(3), 1994, pp. 261-273
We present efficient parallel algorithms for the domination problem on
strongly chordal graphs and related problems, such as the set cover p
roblem for alpha-acyclic hypergraphs and the dominating clique problem
for strongly chordal graphs. Moreover, we present an efficient parall
el algorithm which checks, for any chordal graph, whether it has a dom
inating clique.