@article {IOPORT.06082062, author = {Binkele-Raible, Daniel and Fernau, Henning}, title = {An exact exponential-time algorithm for the directed maximum leaf spanning tree problem.}, year = {2012}, journal = {Journal of Discrete Algorithms}, volume = {15}, issn = {1570-8667}, pages = {43-55}, publisher = {Elsevier Science B.V., Amsterdam}, doi = {10.1016/j.jda.2012.03.006}, abstract = {Summary: 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 $\cal O^{\ast}(1.9044^{n})$ using polynomial space. Allowing exponential space, this run time upper bound can be lowered to $\cal O^{\ast}(1.8139^{n})$. We also provide an example showing a lower-bound for the running time of our algorithm.}, identifier = {06082062}, }