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ON FINDING THE EHRHART POLYNOMIALS USING A MODIFIED PARTIAL FRACTION METHOD | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 12, Issue 2, 2009, Pages 132-136 | ||
| Authors | ||
| Shatha Assaad Al-Najjar; Samaa. F. A; Vian A. Al-Salehy | ||
| Abstract | ||
| A wide variety of topics in pure and applied mathematics involve the problem of counting the number of lattice points inside a polytope. Perhaps the most famous special case is the theory of Ehrhart polynomials, which is the basis structure theorem about this type of counting problem. We present a modified tool to find the Ehrhart polynomial of a convex polytope, by writing a polytope as a linear system and find the solution of this system using integer programming method with a modification on this method. This method depends on deriving the vector partition function as a partial fraction. | ||
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