Maximum star densities

The Polytope of k-Star Densities

This paper describes the polytope Pk;N of i-star counts, for all i 6 k, for graphs on N nodes. The vertices correspond to graphs that are regular or as regular as possible. For even N the polytope is a cyclic polytope, and for odd N the polytope is well-approximated by a cyclic polytope. As N goes to infinity, Pk;N approaches the convex hull of the moment curve. The affine symmetry group of Pk;...

Discriminative Densities from Maximum Contrast Estimation

We propose a framework for classifier design based on discriminative densities for representation of the differences of the class-conditional distributions in a way that is optimal for classification. The densities are selected from a parametrized set by constrained maximization of some objective function which measures the average (bounded) difference, i.e. the contrast between discriminative ...

Maximum values of gas-dynamic flux densities

It is well known that, in steady isentropic expansion of a gas from a reservoir, the maximum mass flux density, pu, occurs at Mach number M=u/a= 1 (p, u, and a are the local values of density, velocity, and speed of sound, respectively; po, 0, and a0 are corresponding reservoir values.) The proof is usually given for the special case of a perfect gas and it does not seem to be well known that t...

Maximum mass of a cold compact star

We calculate the maximum mass of the class of compact stars described by VaidyaTikekar [24] model. The model permits a simple method of systematically fixing bounds on the maximum possible mass of cold compact stars with a given value of radius or central density or surface density. The relevant equations of state are also determined. Although simple, the model is capable of describing the gene...

An Efficient Algorithm To Compute Maximum Entropy Densities