A Property about the Convex Lattice Set in ZZ2

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Abstract

In this paper we study the distribution of the cardinality of the intersection of a centrally symmetric convex lattice set with lines perpendicular to x-axis or y-axis. For some centrally symmetric convex lattice set, we prove that neither the section counter function f x nor f y can be strictly increasing functions. © 2011 Springer-Verlag.

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Luo, J., Si, L., Wang, Z., & Qu, L. (2011). A Property about the Convex Lattice Set in ZZ2. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7033 LNCS, pp. 142–146). https://doi.org/10.1007/978-3-642-24983-9_14

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