On Finding the Coefficients of the Ehrhart Polynomials c d 9 of a Polyhedron in d

Authors

  • Ahlam J Khaleel Al- Nahrain University.
  • Shatha A Al-Najjar University of Technology.

Keywords:

Ehrhart polynomial, polytope, volume, integral point

Abstract

Computing the volume and integral points of a polyhedron in 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 of the Ehrhart polynomials.

Published

2012-06-01

Issue

Section

Articles

How to Cite

[1]
“On Finding the Coefficients of the Ehrhart Polynomials c d 9 of a Polyhedron in d”, ANJS, vol. 15, no. 2, pp. 137–147, Jun. 2012, Accessed: Mar. 28, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/1363