Flow-up bases for generalized spline modules on arbitrary graphs

DOI10.1142/S0219498821501802zbMath1476.05176arXiv1902.03756OpenAlexW3035018432MaRDI QIDQ5158054

Selma Altınok, Samet Sarıoğlan

Publication date: 21 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03756

zbMATH Keywords

algebraic graph theorygeneralized splines

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Congruences; primitive roots; residue systems (11A07) Spline approximation (41A15) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) Connectivity (05C40)

Related Items (4)

Basis condition for generalized spline modules ⋮ Generalized splines on graphs with two labels and polynomial splines on cycles ⋮ Generalized integer splines on arbitrary graphs ⋮ Module Basis for Generalized Spline Modules

Cites Work

• Modules of piecewise polynomials and their freeness
• A spectral sequence for splines
• Graphs, syzygies, and multivariate splines
• Combinatorial and topological invariants of modules of piecewise polynomials
• Basis criteria for generalized spline modules via determinant
• A dimension series for multivariate splines
• Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang
• Generalized splines on arbitrary graphs
• Unnamed Item

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