Abstract
Given a directed graph G=(V,A), the Directed Maximum Leaf Spanning Tree problem asks to compute a directed spanning tree with as many leaves as possible. By designing a branching algorithm analyzed with Measure&Conquer, we show that the problem can be solved in time ${\mathcal{O}}^*({1.9044}^n)$ using polynomial space. Allowing exponential space, this run time upper bound can be lowered to ${\mathcal{O}}^*(1.8139^n)$.
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