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Rare events have played an increasing role in molecular phylogenetics aspotentially homoplasy-poor characters.In this contribution we analyze thephylogenetic information content from a combinatorial point of view byconsid-ering the binary relation on the set of taxa defined by the existence ofa single event separating two taxa. We showthat the graph-representation ofthis relation must be a tree. Moreover, we characterize completely therelationshipbetween the tree of such relations and the underlying phylogenetictree. With directed operations such as tandem-duplication-random-loss events inmind we demonstrate how non-symmetric information constrains the position oftheroot in the partially reconstructed phylogeny.

Inference of Phylogenetic Trees from the Knowledge of Rare Evolutionary Events