On Ehrhart Polynomials of Lattice Triangles
نویسندگان
چکیده
The Ehrhart polynomial of a lattice polygon P is completely determined by the pair (b(P ), i(P )) where b(P ) equals the number of lattice points on the boundary and i(P ) equals the number of interior lattice points. All possible pairs (b(P ), i(P )) are completely described by a theorem due to Scott. In this note, we describe the shape of the set of pairs (b(T ), i(T )) for lattice triangles T by finding infinitely many new Scott-type inequalities.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 25 شماره
صفحات -
تاریخ انتشار 2018