Abreu, Nair; Cardoso, Domingos M.; França, Francisca A. M.; Vinagre, Cybele T. M. Some new aspects of main eigenvalues of graphs. (English) Zbl 1436.05058 Comput. Appl. Math. 39, No. 1, Paper No. 12, 14 p. (2020). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C50 05C05 05C38 05E30 PDFBibTeX XMLCite \textit{N. Abreu} et al., Comput. Appl. Math. 39, No. 1, Paper No. 12, 14 p. (2020; Zbl 1436.05058) Full Text: DOI arXiv Link
Abreu, Nair; Alencar, Jorge; Brondani, André; de Lima, Leonardo; Oliveira, Carla Graphs with all but two eigenvalues in \([-2, 0]\). (English) Zbl 1433.05181 Discuss. Math., Graph Theory 40, No. 2, 379-391 (2020). MSC: 05C50 PDFBibTeX XMLCite \textit{N. Abreu} et al., Discuss. Math., Graph Theory 40, No. 2, 379--391 (2020; Zbl 1433.05181) Full Text: DOI
Abreu, Nair Maria Maia de; Justel, Claudia Marcela; Markenzon, Lilian; Oliveira, Carla Silva; Waga, Christina Fraga Esteves Maciel Block-indifference graphs: characterization, structural and spectral properties. (English) Zbl 1421.05061 Discrete Appl. Math. 269, 60-67 (2019). MSC: 05C50 05C30 PDFBibTeX XMLCite \textit{N. M. M. de Abreu} et al., Discrete Appl. Math. 269, 60--67 (2019; Zbl 1421.05061) Full Text: DOI
Abreu, Nair; Brondani, André E.; de Lima, Leonardo; Oliveira, Carla A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph. (English) Zbl 1499.05346 Appl. Anal. Discrete Math. 11, No. 1, 123-135 (2017). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{N. Abreu} et al., Appl. Anal. Discrete Math. 11, No. 1, 123--135 (2017; Zbl 1499.05346) Full Text: DOI
Abreu, Nair; Cardoso, Domingos M.; Carvalho, Paula; Vinagre, Cybele T. M. Spectra and Laplacian spectra of arbitrary powers of lexicographic products of graphs. (English) Zbl 1347.05112 Discrete Math. 340, No. 1, 3235-3244 (2017). MSC: 05C50 05C76 PDFBibTeX XMLCite \textit{N. Abreu} et al., Discrete Math. 340, No. 1, 3235--3244 (2017; Zbl 1347.05112) Full Text: DOI arXiv
Abreu, Nair; Justel, Claudia Marcela; Rojo, Oscar; Trevisan, Vilmar Ordering trees and graphs with few cycles by algebraic connectivity. (English) Zbl 1295.05138 Linear Algebra Appl. 458, 429-453 (2014). MSC: 05C50 05C05 05C40 PDFBibTeX XMLCite \textit{N. Abreu} et al., Linear Algebra Appl. 458, 429--453 (2014; Zbl 1295.05138) Full Text: DOI
Abreu, Nair M. M.; Cardoso, Domingos M.; Martins, Enide A.; Robbiano, Maria; San Martín, B. On the Laplacian and signless Laplacian spectrum of a graph with \(k\) pairwise co-neighbor vertices. (English) Zbl 1247.05132 Linear Algebra Appl. 437, No. 9, 2308-2316 (2012). MSC: 05C50 PDFBibTeX XMLCite \textit{N. M. M. Abreu} et al., Linear Algebra Appl. 437, No. 9, 2308--2316 (2012; Zbl 1247.05132) Full Text: DOI
Silva de Lima, Leonardo; Silva Oliveira, Carla; Maia de Abreu, Nair Maria; Nikiforov, Vladimir The smallest eigenvalue of the signless Laplacian. (English) Zbl 1222.05180 Linear Algebra Appl. 435, No. 10, 2570-2584 (2011). MSC: 05C50 05C35 PDFBibTeX XMLCite \textit{L. Silva de Lima} et al., Linear Algebra Appl. 435, No. 10, 2570--2584 (2011; Zbl 1222.05180) Full Text: DOI
Abreu, Nair; Cardoso, Domingos M.; Gutman, Ivan; Martins, Enide A.; Robbiano, Marıá Bounds for the signless Laplacian energy. (English) Zbl 1222.05143 Linear Algebra Appl. 435, No. 10, 2365-2374 (2011). MSC: 05C50 15B48 PDFBibTeX XMLCite \textit{N. Abreu} et al., Linear Algebra Appl. 435, No. 10, 2365--2374 (2011; Zbl 1222.05143) Full Text: DOI
Oliveira, Carla Silva; de Lima, Leonardo Silva; de Abreu, Nair Maria Maia; Hansen, Pierre Bounds on the index of the signless Laplacian of a graph. (English) Zbl 1225.05174 Discrete Appl. Math. 158, No. 4, 355-360 (2010). MSC: 05C50 PDFBibTeX XMLCite \textit{C. S. Oliveira} et al., Discrete Appl. Math. 158, No. 4, 355--360 (2010; Zbl 1225.05174) Full Text: DOI
de Freitas, Maria Aguieiras A.; de Abreu, Nair M. M.; Del-Vecchio, Renata R.; Jurkiewicz, Samuel Infinite families of \(Q\)-integral graphs. (English) Zbl 1219.05158 Linear Algebra Appl. 432, No. 9, 2352-2360 (2010). MSC: 05C75 05C63 PDFBibTeX XMLCite \textit{M. A. A. de Freitas} et al., Linear Algebra Appl. 432, No. 9, 2352--2360 (2010; Zbl 1219.05158) Full Text: DOI
Oliveira, Carla Silva; de Lima, Leonardo Silva; de Abreu, Nair Maria Maia; Kirkland, Steve Bounds on the \(Q\)-spread of a graph. (English) Zbl 1214.05082 Linear Algebra Appl. 432, No. 9, 2342-2351 (2010). MSC: 05C50 PDFBibTeX XMLCite \textit{C. S. Oliveira} et al., Linear Algebra Appl. 432, No. 9, 2342--2351 (2010; Zbl 1214.05082) Full Text: DOI
So, Wasin; Robbiano, María; de Abreu, Nair Maria Maia; Gutman, Ivan Applications of a theorem by Ky Fan in the theory of graph energy. (English) Zbl 1218.05100 Linear Algebra Appl. 432, No. 9, 2163-2169 (2010). MSC: 05C50 05C90 PDFBibTeX XMLCite \textit{W. So} et al., Linear Algebra Appl. 432, No. 9, 2163--2169 (2010; Zbl 1218.05100) Full Text: DOI
de Freitas, Maria Aguieiras A.; Del-Vecchio, Renata R.; de Abreu, Nair M. M.; Kirkland, Steve On \(Q\)-spectral integral variation. (English) Zbl 1268.05128 Liebling, Thomas M. (ed.) et al., LAGOS’09 – V Latin-American algorithms, graphs, and optimization symposium. Papers from the symposium, Gramado, Brazil, November 3–7, 2009. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 35, 203-208 (2009). MSC: 05C50 PDFBibTeX XMLCite \textit{M. A. A. de Freitas} et al., Electron. Notes Discrete Math. 35, 203--208 (2009; Zbl 1268.05128) Full Text: DOI
Bonifácio, Andréa S.; Vinagre, Cybele T. M.; de Abreu, Nair Maria Maia Constructing pairs of equienergetic and non-cospectral graphs. (English) Zbl 1147.05048 Appl. Math. Lett. 21, No. 4, 338-341 (2008). MSC: 05C50 PDFBibTeX XMLCite \textit{A. S. Bonifácio} et al., Appl. Math. Lett. 21, No. 4, 338--341 (2008; Zbl 1147.05048) Full Text: DOI
Stevanović, Dragan; de Abreu, Nair M. M.; de Freitas, Maria A. A.; Del-Vecchio, Renata Walks and regular integral graphs. (English) Zbl 1113.05066 Linear Algebra Appl. 423, No. 1, 119-135 (2007). MSC: 05C50 PDFBibTeX XMLCite \textit{D. Stevanović} et al., Linear Algebra Appl. 423, No. 1, 119--135 (2007; Zbl 1113.05066) Full Text: DOI
de Abreu, Nair Maria Maia Old and new results on algebraic connectivity of graphs. (English) Zbl 1115.05056 Linear Algebra Appl. 423, No. 1, 53-73 (2007). MSC: 05C50 05C35 PDFBibTeX XMLCite \textit{N. M. M. de Abreu}, Linear Algebra Appl. 423, No. 1, 53--73 (2007; Zbl 1115.05056) Full Text: DOI
Erthal de Moraes, Patrícia; de Abreu, Nair Maria Maia; Jurkiewicz, Samuel The fifth and sixth coefficients of the characteristic polynomial of a graph. (English) Zbl 1075.05565 Alavi, Yousef (ed.) et al., Papers of the 9th quadrennial international conference on graph theory, combinatorics, algorithms, and applications, Kalamazoo, MI, USA, June 4–9, 2000. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 11, 201-208 (2002). MSC: 05C50 PDFBibTeX XMLCite \textit{P. Erthal de Moraes} et al., Electron. Notes Discrete Math. 11, 201--208 (2002; Zbl 1075.05565) Full Text: Link
Oliveira, Carla Silva; de Abreu, Nair Maria Maia; Jurkiewicz, Samuel The characteristic polynomial of the Laplacian of graphs in (\(a\), \(b\))-linear classes. (English) Zbl 1015.05054 Linear Algebra Appl. 356, No. 1-3, 113-121 (2002). MSC: 05C50 PDFBibTeX XMLCite \textit{C. S. Oliveira} et al., Linear Algebra Appl. 356, No. 1--3, 113--121 (2002; Zbl 1015.05054) Full Text: DOI