MINIMUM GENERATING SETS FOR COMPLETE GRAPHS
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkic World Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let G be a graph with edges labeled by ideals of a commutative ring R with identity. Such a graph is called an edge-labeled graph over R. A generalized spline is a vertex labeling so that the difference between the labels of any two adjacent vertices lies in the ideal corresponding to the edge. These generalized splines form a module over R. In this paper, we consider complete graphs whose edges are labeled with proper ideals of Z/mZ. We compute minimum generating sets of constant flow-up classes for spline modules on edge-labeled complete graphs over Z/mZ and determine their rank under some restrictions.
Açıklama
Anahtar Kelimeler
Generalized splines, algebraic graph theory
Kaynak
Twms Journal of Applied and Engineering Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
13
Sayı
3
