Module Basis for Generalized Spline Modules
Let G = (V,E) be a graph of order n. Let R be a commutative ring and I denote the set of all ideals of R. Let ? : E ? I be an edge labeling. A generalized spline of (G, ?) is a vertex labeling F : V ? R such that for each edge uv, F(u) ? F(v) ? ?(uv). The set R(G,) of all generalized splines of (G, ?) is an R-module. In this paper we determine conditions for a subset of R(G,?) to form a basis of R(G,?) for some classes of graphs.
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Dokumenttyp: | Artikel |
Erscheinungsdatum: | 2022 |
Verlag/Hrsg.: |
Informatics Publishing Limited and The Indian Mathematical Society
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Schlagwörter: | Generalized spline modules / Dutch Windmill graph / isomorphic graphs |
Sprache: | Englisch |
Permalink: | https://search.fid-benelux.de/Record/base-28993672 |
Datenquelle: | BASE; Originalkatalog |
Powered By: | BASE |
Link(s) : | http://www.informaticsjournals.com/index.php/jims/article/view/29295 |