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On Finding the Coefficients of the Ehrhart Polynomials of a Polyhedron in | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 15, Issue 2, 2012, Pages 137-147 | ||
| Authors | ||
| Shatha A. Al-Najjar; Ahlam J. Khaleel | ||
| 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. | ||
| Keywords | ||
| Ehrhart polynomial; polytope; volume; integral points | ||
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