Graph products and characterization by rings

Graph products and characterization by rings

We formulate a group of graphs with graph union as operation. Out of the 256 possible graph products, only six can be used as means to define ring structures over such graph group. Likewise, using the graph join instead of the graph union, another set of graph products is available for defining ring...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Boletín de la Sociedad Matemática Mexicana 2017-10, Vol.23 (2), p.527-535
Hauptverfasser: Campanelli, Nicolas, Frías-Armenta, Martín Eduardo, Martinez-Morales, Jose Luis
Format: Artikel
Sprache:eng
Schlagworte:
Isomorphism
Mathematics
Mathematics and Statistics
Original Paper
Ring structures
Rings (mathematics)
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We formulate a group of graphs with graph union as operation. Out of the 256 possible graph products, only six can be used as means to define ring structures over such graph group. Likewise, using the graph join instead of the graph union, another set of graph products is available for defining ring structures. Unsurprisingly, both constructions lead to the same rings via an isomorphism.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-015-0081-7