Completion of Laplacian integral graphs via edge addition
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Publication:556838
DOI10.1016/j.disc.2004.12.010zbMath1063.05094OpenAlexW2043963103MaRDI QIDQ556838
Publication date: 23 June 2005
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2004.12.010
Related Items (17)
Constructably Laplacian integral graphs ⋮ Old and new results on algebraic connectivity of graphs ⋮ Laplacian integral graphs in \(S(a, b)\) ⋮ On the Laplacian spectrum of \(k\)-symmetric graphs ⋮ Cheeger‐like inequalities for the largest eigenvalue of the graph Laplace operator ⋮ On the Laplacian and signless Laplacian polynomials of graphs with semiregular automorphisms ⋮ Strictly chordal graphs: structural properties and integer Laplacian eigenvalues ⋮ Integral Laplacian graphs with a unique repeated Laplacian eigenvalue. I ⋮ Q-integral unicyclic, bicyclic and tricyclic graphs ⋮ On graphs with three distinct Laplacian eigenvalues ⋮ Indecomposable Laplacian integral graphs ⋮ On conjectures involving second largest signless Laplacian eigenvalue of graphs ⋮ Two spectral characterizations of regular, bipartite graphs with five eigenvalues ⋮ Conjectures on index and algebraic connectivity of graphs ⋮ Some results on the Laplacian spectrum ⋮ Laplacian spectrum of weakly quasi-threshold graphs ⋮ On the Laplacian integral tricyclic graphs
Cites Work
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- Laplace eigenvalues of graphs---a survey
- Complement reducible graphs
- Degree maximal graphs are Laplacian integral
- Matrix Analysis
- Rank one perturbation and its application to the laplacian spectrum of a graph∗
- The Laplacian Spectrum of a Graph II
- A characterization of spectral integral variation in two places for Laplacian matrices
- On Spectral Integral Variations of Graphs
- On graphs whose Laplacian matrices have distinct integer eigenvalues
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