In this paper we give an algorithm to generate all rooted trees with at most n vertices. The algorithm generates each tree in constant time on average. Furthermore the algorithm is simple, and clarifies a simple relation among the trees, that is a family tree of trees, and outputs trees based on the relation.

Genealogical concordance is a critical overlay of all phylogenetic analyses, irrespective of taxonomic level. To assess such patterns of congruence we have compiled and derived sequence data for two mitochondrial (16S rRNA, COI) and two nuclear (ITS1, p26) markers in 14 American populations of the hypersaline branchiopod Artemia franciscana. Cladistic analysis revealed three reciprocally monoph...

We have compared the Y chromosomal lineage dating between sequence data and commonly used Y-SNP plus Y-STR data. The coalescent times estimated using evolutionary Y-STR mutation rates correspond best with sequence-based dating when the lineages include the most ancient haplogroup A individuals. However, the times using slow mutated STR markers with genealogical rates fit well with sequence-base...

As defined in the Chemical Genealogy database (Chemical Genealogy Database), ‘‘A professional genealogy (as opposed to a family genealogy) traces a person’s intellectual line of descent via one’s Ph.D. advisor or mentor for one’s highest non-honorary degree.’’ The professional genealogy for Professor Daniel I. C. Wang of the Department of Chemical Engineering of the Massachusetts Institute of T...

Representations of population models in terms of countable systems of particles are constructed, in which each particle has a ‘type’, typically recording both spatial position and genetic type, and a level. For finite intensity models, the levels are distributed on [0, λ], whereas in the infinite intensity limit λ→∞, at each time t, the joint distribution of types and levels is conditionally Po...

A family with Becker type muscular dystrophy is described, in which two females were severely affected, giving the family tree the appearance of dominant inheritance.