Graph products and characterization by rings

Nicolas Campanelli; Martín Eduardo Frías-Armenta; Jose Luis Martinez-Morales

doi:10.1007/s40590-015-0081-7

Graph products and characterization by rings

Nicolas Campanelli^*, Martín Eduardo Frías-Armenta, Jose Luis Martinez-Morales

^*Corresponding author for this work

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	527-535
Number of pages	9
Journal	Boletin de la Sociedad Matematica Mexicana
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s40590-015-0081-7
State	Published - 1 Oct 2017

Bibliographical note

Publisher Copyright:
© 2016, Sociedad Matemática Mexicana.

Keywords

Graph
Graph join
Graph products
Graph union
Grothendieck group
Ring

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10.1007/s40590-015-0081-7

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KW - Graph union

KW - Grothendieck group

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Graph products and characterization by rings

Abstract

Bibliographical note

Keywords

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