Andrade, Enide; Dahl, Geir Combinatorial Fiedler theory and graph partition. (English) Zbl 07810699 Linear Algebra Appl. 687, 229-251 (2024). MSC: 05C70 05C40 05C50 15A18 05C05 05C82 PDFBibTeX XMLCite \textit{E. Andrade} and \textit{G. Dahl}, Linear Algebra Appl. 687, 229--251 (2024; Zbl 07810699) Full Text: DOI arXiv
Liu, Hechao; You, Lihua; Huang, Yufei; Tang, Zikai On extremal Sombor indices of chemical graphs, and beyond. (English) Zbl 1505.92289 MATCH Commun. Math. Comput. Chem. 89, No. 2, 415-436 (2023). MSC: 92E10 05C92 05C09 PDFBibTeX XMLCite \textit{H. Liu} et al., MATCH Commun. Math. Comput. Chem. 89, No. 2, 415--436 (2023; Zbl 1505.92289) Full Text: DOI
Andrade, Enide; Ciardo, Lorenzo; Dahl, Geir Perron values and classes of trees. (English) Zbl 1482.05185 Linear Algebra Appl. 639, 135-158 (2022). MSC: 05C50 15A18 05C05 05C40 PDFBibTeX XMLCite \textit{E. Andrade} et al., Linear Algebra Appl. 639, 135--158 (2022; Zbl 1482.05185) Full Text: DOI
Liao, Yunhua; Aziz-Alaoui, M. A.; Hou, Yaoping Independent vertex sets in the Zykov sum. (English) Zbl 1477.05092 Discrete Appl. Math. 306, 133-137 (2022). MSC: 05C31 05C69 05C82 05C40 05C76 11B39 PDFBibTeX XMLCite \textit{Y. Liao} et al., Discrete Appl. Math. 306, 133--137 (2022; Zbl 1477.05092) Full Text: DOI
Taletskii, Dmitriy S.; Malyshev, Dmitriy S. Trees with a given number of leaves and the maximal number of maximum independent sets. (English. Russian original) Zbl 1475.05143 Discrete Math. Appl. 31, No. 2, 135-144 (2021); translation from Diskretn. Mat. 32, No. 2, 71-84 (2020). Reviewer: John Schmitt (Middlebury) MSC: 05C69 05C05 05C35 PDFBibTeX XMLCite \textit{D. S. Taletskii} and \textit{D. S. Malyshev}, Discrete Math. Appl. 31, No. 2, 135--144 (2021; Zbl 1475.05143); translation from Diskretn. Mat. 32, No. 2, 71--84 (2020)
Dosal-Trujillo, Loiret Alejandría; Galeana-Sánchez, Hortensia On the Fibonacci numbers of the composition of graphs. (English) Zbl 1464.05319 Discrete Appl. Math. 266, 213-218 (2019). MSC: 05C76 05C69 11B39 PDFBibTeX XMLCite \textit{L. A. Dosal-Trujillo} and \textit{H. Galeana-Sánchez}, Discrete Appl. Math. 266, 213--218 (2019; Zbl 1464.05319) Full Text: DOI
Andriantiana, Eric Ould Dadah; Wagner, Stephan; Wang, Hua Extremal problems for trees with given segment sequence. (English) Zbl 1355.05079 Discrete Appl. Math. 220, 20-34 (2017). MSC: 05C05 05C50 05C69 05C70 05C07 05C35 PDFBibTeX XMLCite \textit{E. O. D. Andriantiana} et al., Discrete Appl. Math. 220, 20--34 (2017; Zbl 1355.05079) Full Text: DOI
Dosal-Trujillo, Loiret Alejandría; Galeana-Sánchez, Hortensia The Fibonacci numbers of certain subgraphs of circulant graphs. (English) Zbl 1346.05213 AKCE Int. J. Graphs Comb. 12, No. 2-3, 94-103 (2015). MSC: 05C69 11B39 PDFBibTeX XMLCite \textit{L. A. Dosal-Trujillo} and \textit{H. Galeana-Sánchez}, AKCE Int. J. Graphs Comb. 12, No. 2--3, 94--103 (2015; Zbl 1346.05213) Full Text: DOI
Akbulak, Mehmet; Kale, Akın; Öteleş, Ahmet On the connectivity properties and energy of Fibonomial graphs. (English) Zbl 1288.05151 Discrete Appl. Math. 169, 1-8 (2014). MSC: 05C50 05C40 PDFBibTeX XMLCite \textit{M. Akbulak} et al., Discrete Appl. Math. 169, 1--8 (2014; Zbl 1288.05151) Full Text: DOI
Levit, Vadim E.; Mandrescu, Eugen The cyclomatic number of a graph and its independence polynomial at \(- 1\). (English) Zbl 1266.05071 Graphs Comb. 29, No. 2, 259-273 (2013). MSC: 05C31 05C69 PDFBibTeX XMLCite \textit{V. E. Levit} and \textit{E. Mandrescu}, Graphs Comb. 29, No. 2, 259--273 (2013; Zbl 1266.05071) Full Text: DOI arXiv
Jou, Min-Jen The second largest number of maximal independent sets in connected graphs with at most one cycle. (English) Zbl 1261.90076 J. Comb. Optim. 24, No. 3, 192-201 (2012). MSC: 90C35 PDFBibTeX XMLCite \textit{M.-J. Jou}, J. Comb. Optim. 24, No. 3, 192--201 (2012; Zbl 1261.90076) Full Text: DOI
Bruyère, Véronique; Joret, Gwenaël; Mélot, Hadrien Trees with given stability number and minimum number of stable sets. (English) Zbl 1256.05161 Graphs Comb. 28, No. 2, 167-187 (2012). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{V. Bruyère} et al., Graphs Comb. 28, No. 2, 167--187 (2012; Zbl 1256.05161) Full Text: DOI arXiv
Levit, Vadim E.; Mandrescu, Eugen A simple proof of an inequality connecting the alternating number of independent sets and the decycling number. (English) Zbl 1222.05108 Discrete Math. 311, No. 13, 1204-1206 (2011). MSC: 05C31 05C69 PDFBibTeX XMLCite \textit{V. E. Levit} and \textit{E. Mandrescu}, Discrete Math. 311, No. 13, 1204--1206 (2011; Zbl 1222.05108) Full Text: DOI arXiv
Wagner, Stephan; Gutman, Ivan Maxima and minima of the Hosoya index and the Merrifield-Simmons index. (English) Zbl 1201.92068 Acta Appl. Math. 112, No. 3, 323-346 (2010). MSC: 92E10 05C35 05C90 05C70 PDFBibTeX XMLCite \textit{S. Wagner} and \textit{I. Gutman}, Acta Appl. Math. 112, No. 3, 323--346 (2010; Zbl 1201.92068) Full Text: DOI
Jou, Min-Jen; Lin, Jenq-Jong Trees with the second largest number of maximal independent sets. (English) Zbl 1187.05026 Discrete Math. 309, No. 13, 4469-4474 (2009). MSC: 05C05 05C35 05C69 PDFBibTeX XMLCite \textit{M.-J. Jou} and \textit{J.-J. Lin}, Discrete Math. 309, No. 13, 4469--4474 (2009; Zbl 1187.05026) Full Text: DOI
Bruyère, Véronique; Mélot, Hadrien Fibonacci index and stability number of graphs: a polyhedral study. (English) Zbl 1203.05074 J. Comb. Optim. 18, No. 3, 207-228 (2009). MSC: 05C35 05C69 05C90 92E10 PDFBibTeX XMLCite \textit{V. Bruyère} and \textit{H. Mélot}, J. Comb. Optim. 18, No. 3, 207--228 (2009; Zbl 1203.05074) Full Text: DOI arXiv
Bruyère, Véronique; Mélot, Hadrien Turán graphs, stability number, and Fibonacci index. (English) Zbl 1168.05316 Yang, Boting (ed.) et al., Combinatorial optimization and applications. Second international conference, COCOA 2008, St. John’s, NL, Canada, August 21–24, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85096-0/pbk). Lecture Notes in Computer Science 5165, 127-138 (2008). MSC: 05C35 05C69 90C35 PDFBibTeX XMLCite \textit{V. Bruyère} and \textit{H. Mélot}, Lect. Notes Comput. Sci. 5165, 127--138 (2008; Zbl 1168.05316) Full Text: DOI arXiv
Wagner, Stephan G. A class of trees and its Wiener index. (English) Zbl 1100.05031 Acta Appl. Math. 91, No. 2, 119-132 (2006). MSC: 05C12 05C05 PDFBibTeX XMLCite \textit{S. G. Wagner}, Acta Appl. Math. 91, No. 2, 119--132 (2006; Zbl 1100.05031) Full Text: DOI