Graphs, syzygies, and multivariate splines
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Publication:1764168
DOI10.1007/s00454-004-1141-3zbMath1069.41012OpenAlexW2086880453MaRDI QIDQ1764168
Publication date: 23 February 2005
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-004-1141-3
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Spline approximation (41A15) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (11)
Algebraic methods in approximation theory ⋮ Piecewise polynomials on polyhedral complexes ⋮ Lattice-supported splines on polytopal complexes ⋮ Multivariate generalized splines and syzygies on graphs ⋮ Basis criteria for generalized spline modules via determinant ⋮ A new bound for smooth spline spaces ⋮ An algorithm for generating generalized splines on graphs such as complete graphs, complete bipartite graphs and hypercubes ⋮ Flow-up bases for generalized spline modules on arbitrary graphs ⋮ Associated primes of spline complexes ⋮ Generalized integer splines on arbitrary graphs ⋮ Module Basis for Generalized Spline Modules
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