The median procedure for n-trees

Let (X,d) be a metric space The functionM:X ^k 2 ^x defined by is the minimum } is called themedian procedure and has been found useful in various applications involving the notion of consensus Here we present axioms that characterizeM whenX is a certain class of trees (hierarchical classifications), andd is the symmetric difference metricWe would like to thank the referees and Editor for helpful comments     

The median procedure for n-trees as a maximum likelihood method

A few axioms are presented which allow the median procedure for n-trees to be given a maximum likelihood interpretation.Research supported by grant number N00014-89-J-1643 from the Office of Naval Research. The author would like to thank the referees for their helpful comments.     

A Characterization of Majority Rule for Hierarchies

The majority rule has been a popular method for producing a consensus classification from several different classifications, when the classifications are all on the same set of objects and are structured as hierarchies. In this note, a new axiomatic characterization is proved for this consensus method on hierarchies.     

An algorithm to find agreement subtrees

Given two binary trees, a largest subtree contained in both of the original trees that has been obtained by pruning vertices is called an agreement subtree. An exact algorithm for finding an agreement subtree is presented.Research of F.R.M. supported by grant number N00014-89-J-1643 from the Office of Naval Research. The authors would like to thank the referees, the Editor, and William H. E. Day for many valuable suggestions.     

Acylfulvenes,a new class of potent antitumor agents

Acylfulvene, derived from the sesquiterpene illudin S by treatment with acid (reverse Prins reaction), is far less reactive to thiols than illudin S. However, it is reduced readily to an aromatic product, in the same way as illudin S. This may explain its greatly improved therapeutic index compared to that of the parent compound.Unfortunately, publication was held up due to postal delay.