Random generation of colored trees

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Abstract

We present a linear time algorithm which generates uniformly a colored tree. This algorithm has numerous applications in image synthesis of plants and trees and in statistical complexity analysis. We use a one-to-one correspondence between colored trees and sequences which are then uniformly generated in linear time.

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Alonso, L., & Schott, R. (1995). Random generation of colored trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 911, pp. 16–35). Springer Verlag. https://doi.org/10.1007/3-540-59175-3_78

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