Details

Autor(en) / Beteiligte

• Agudelo Muñetón, Natalia
• Cañadas, Agustín Moreno
• Espinosa, Pedro Fernando Fernández
• Gaviria, Isaías David Marín

Titel

{0,1}-Brauer Configuration Algebras and Their Applications in Graph Energy Theory

Ist Teil von

• Mathematics (Basel), 2021-12, Vol.9 (23), p.3042

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2021

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• The energy E(G) of a graph G is the sum of the absolute values of its adjacency matrix. In contrast, the trace norm of a digraph Q, which is the sum of the singular values of the corresponding adjacency matrix, is the oriented version of the energy of a graph. It is worth pointing out that one of the main problems in this theory consists of determining appropriated bounds of these types of energies for significant classes of graphs, digraphs and matrices, provided that, in general, finding out their exact values is a problem of great difficulty. In this paper, the trace norm of a {0,1}-Brauer configuration is introduced. It is estimated and computed by associating suitable families of graphs and posets to Brauer configuration algebras.