Abstract
In this paper we present unified methods to solve the minus and signed total domination problems for chordal bipartite graphs and trees in O ( n 2 ) and O ( n + m ) time, respectively. We also prove that the decision problem for the signed total domination problem on doubly chordal graphs is NP-complete. Note that bipartite permutation graphs, biconvex bipartite graphs, and convex bipartite graphs are subclasses of chordal bipartite graphs.
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