Applications of Estrada indices and energy to a family of compound graphs

Autor: Katherine Tapia, María Robbiano, Pamela Pizarro, Enide Andrade, B. San Martin

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

To track the gradual change of the adjacency matrix of a simple graph $\mathcal{G}$ into the signless Laplacian matrix, V. Nikiforov in \cite{NKF} suggested the study of the convex linear combination $A_{\alpha }$ (\textit{$\alpha$-adjacency matrix})

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84d8ba7ab4db84ee92916b2031c47d5f
https://doi.org/10.1016/j.laa.2017.06.035

An upper bound on the largest signless Laplacian of an odd unicyclic graph

Autor: Oscar Rojo, Pamela Pizarro, Macarena Collao

Publikováno v: Proyecciones (Antofagasta) v.31 n.1 2012
SciELO Chile
CONICYT Chile
instacron:CONICYT
Proyecciones (Antofagasta), Volume: 31, Issue: 1, Pages: 39-49, Published: MAR 2012

We derive an upper bound on the largest signless Laplacian eigen­value of an odd unicyclic graph. The bound is given in terms of the largest vertex degree and the largest height of the trees obtained re­moving the edges of the unique cycle in the g

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8083ee4e9b40cc242a14ee021a173bd
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172012000100005