The vertices of the secondary polytope of a point connguration correspond to its regular triangulations. The Cayley trick links triangulations of one point connguration, called the Cayley polytope, to the ne mixed subdivisions of a tuple of point conngurations. In this paper we investigate the secondary polytope of this Cayley polytope. Its vertices correspond to all regular mixed subdivisions ...

Measurements of lung volume and its subdivisions were made in 89 asthmatic children and adults and 58 normal subjects. The asthmatics were divided into three groups according to the classification of Jones (1966). In this the FEV1 is used as an index of airways resistance which is divided into labile and fixed components. The compartment of lung volume showing the largest increase was the resid...

We prove a precise characterization of toroidal graphs with no K3,3-subdivisions in terms of forbidden minors and subdivisions. The corresponding lists of four forbidden minors and eleven forbidden subdivisions are shown.

Ordered sets are used as a computational model for motion planning problems. Every ordered set has a two-directional point representation using subdivisions. These subdivision points correspond to direction changes along the path of motion. AMS subject classifications (1980). 06A10, 52A37, 68E10.