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The lerrtcographically first maximal (lfm) induced path problem is shown $ Delta ^p_2 $- complete. The lfm rooted tree problem is also analyzed. This problem is $ Delta^p_2 $- complete, But when restr...icted to topologically sorted directed acyclic graphs (dags), it allows a polynomial time algorithm. &Moreover, the problem restricted to topologically sorted Bags with degree 3 is shown in $ NC^2 $ while the problem for degree 4 is P-complete.続きを見る
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