the thermodynamic properties of fluids can be predicted using the global equations of state. among these thermodynamic properties of fluids, we choose the densities of the liquid and vapor phases. this paper considers the application of the crossover model to the vapor-liquid rectilinear diameter of sulfurhexafluoride. we also present a comparison of the crossover model equation with the experi...

It is proved that any rectilinear polygon on n vertices, possibly with holes, can be partitioned into at most n 4 rectilinear stars each of size at most 12.

A pseudolinear (respectively, rectilinear) drawing of a graph G is optimal if it has the smallest number of crossings among all pseudolinear (respectively, rectilinear) drawings of G. We show that the convex hull of every optimal pseudolinear drawing of the complete graph Kn is a triangle. This is closely related to the recently announced result that the convex hull of every optimal rectilinear...

The paper introduces a shape measure intended to describe the extent to which a closed polygon is rectilinear. Other than somewhat obvious measures of rectilinearity (e.g. the sum of the differences of each corner’s angle from 90◦) there has been little work in deriving a measure that is straightforward to compute, is invarient under scale and translation, and corresponds with the intuitive not...