On a conjecture for the sum of Laplacian eigenvalues

DOI10.1016/j.mcm.2011.12.047zbMath1255.05118OpenAlexW1971651113WikidataQ123281651 ScholiaQ123281651MaRDI QIDQ1931076

Yufei Huang, Shou-Zhong Wang, Bo Lian Liu

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.047

zbMATH Keywords

treegraphLaplacian eigenvaluesunicyclic graphbicyclic graph

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (16)

Computing the Sum of k Largest Laplacian Eigenvalues of Tricyclic Graphs ⋮ Diagonalization of generalized lollipop graphs ⋮ Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy ⋮ Bicyclic graphs with maximum sum of the two largest Laplacian eigenvalues ⋮ On the sum of signless Laplacian eigenvalues of a graph ⋮ On the full Brouwer's Laplacian spectrum conjecture ⋮ Note on an upper bound for sum of the Laplacian eigenvalues of a graph ⋮ Brouwer's conjecture for the Cartesian product of graphs ⋮ Locating Eigenvalues of Symmetric Matrices - A Survey ⋮ Characterizing trees with large Laplacian energy ⋮ On a conjecture for the signless Laplacian eigenvalues ⋮ Bounding the sum of the largest Laplacian eigenvalues of graphs ⋮ Unnamed Item ⋮ Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph ⋮ On Brouwer's conjecture for the sum of \(k\) largest Laplacian eigenvalues of graphs ⋮ On the sum of the two largest Laplacian eigenvalues of unicyclic graphs

Cites Work

• On the sum of Laplacian eigenvalues of graphs
• On the sum of the Laplacian eigenvalues of a tree
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Unnamed Item
• Unnamed Item

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