Title of article :
On Finding the Coefficients of the Ehrhart Polynomials of a Polyhedron in
Author/Authors :
Khaleel, Ahlam J. Al- Nahrain University, Iraq , Al-Najjar, Shatha A. University of Technology, Iraq
Abstract :
Computing the volume and integral points of a polyhedron in R^d is a very important subject in different areas of mathematics, such as: number theory, toric Hilbert functions, Kostant s partition function in representation theory, Ehrhart polynomial in combinatorics, cryptography, integer programming, statistical contingency and mass spectroscope analysis .Therefore a method for finding the coefficients of this polynomial are to be listed. A program in visual basic language is made for finding the general differentiation of the function that are used for finding the coefficients c d - 9 of the Ehrhart polynomials.
Keywords :
Ehrhart polynomial , polytope , volume , integral points.
Journal title :
Al-Nahrain Journal Of Science
Journal title :
Al-Nahrain Journal Of Science