The Characterization of Pseudo-Sn,r Sets

Characterization of Pseudo n-Jordan homomorphism Between unital algebras

Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan homomorphism

On the Number of Pseudo-Triangulations of Certain Point Sets

We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it in two prominent families of point sets, namely the so-called double circle and double chain. The latter has asymptotically 12n pointed pseudo-triangulations, which lies significantly above the maximum number of triangulations in a planar point set known so far.

On the Number of Empty Pseudo-Triangles in Point Sets

We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where they are not fixed. Furthermore, the pseudo-triangles must either be star-shaped or can be arbitrary.

Small and Pseudo - Small Sets for Markov

A pseudo - metri for weighted point sets ?