A New Approach for Finding The Coefficients and Roots of The Ehrhart Polynomial of A Cyclic Polytope With Some Properties

Abstract

The aim of this work is to give a simple description of a cyclic polytope and a new approach for finding the coefficient of its Ehrhart polynomials using Pascal triangles. Theorem for concluding that the roots of a cyclic polytopes are negative is also given.

Keywords

• coefficients and roots
• cyclic polytopes
• ehrhart polynomial