2008/07/21 by Sergeĭ Ovchinnikov, Sergei Ovchinnikov, Ovchinnikov, Sergei
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Combinatorics (math.CO) #FOS: Mathematics #math.CO
paper · pdf · doi:10.48550/arxiv.0807.3364
17 pages, 4 figures, Fig.2.1 label corrected
openalex publication_date 2008/07/21 · arxiv created 2009/04/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The concept of permutograph is introduced and properties of integral functions on permutographs are established. The central result characterizes the class of integral functions that are representable as lattice polynomials. This result is used to establish lattice polynomial representations of piecewise linear functions on convex domains and continuous selectors on linear orders.