It was not until the sixteenth century that dead bodies were submitted to medico-legal investigation. The horror which human dissections inspired in the ancients, and the religious awe with which they beheld the mortal wreck of their fellows, not only retarded the progress of anatomy and physiology, but excluded the light of medicine from the researches of the forum. The Jewish law, indeed, con...

We introduce the following cycle selection problem which is motivated by an application to kidney exchange problems. Given a directed graph G=(V,A), subset of arcs B ⊆A forming union cycles. A related optimization problem, Maximum Weighted Cycle Selection can be defined as follows: given weight wi,j∈R for all (i,j)∈A, find maximizes w(B). prove that this strongly NP-hard. Next, we focus on sele...

MR1631259 (2000d:11019) 11B25; 11N13 Gowers, W. T. A new proof of Szemerédi’s theorem for arithmetic progressions of length four. Geometric and Functional Analysis 8 (1998), no. 3, 529–551. This remarkable paper gives a new proof that every subset of the integers with positive density must contain arithmetic progressions of length four. This was conjectured by P. Erdős and P. Turán [J. London M...