Construction of graphs with distinct eigenvalues
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Publication:507479
DOI10.1016/j.disc.2016.11.033zbMath1355.05157OpenAlexW2569526685MaRDI QIDQ507479
Zhenzhen Lou, Xueyi Huang, Qiong Xiang Huang
Publication date: 6 February 2017
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2016.11.033
Related Items (5)
Graphs determined by their \(A_\alpha\)-spectra ⋮ On the distance spectra of threshold graphs ⋮ Construction of graphs with distinct \(A_\alpha \)-eigenvalues ⋮ The controllability of graphs with diameter \(0-2\) ⋮ On the eigenvalues distribution in threshold graphs
Cites Work
- Tricyclic graphs with exactly two main eigenvalues
- Some results on graphs with exactly two main eigenvalues
- Construction of graphs with exactly \(k\) main eigenvalues
- The theorems of Stieltjes and Favard
- Bicyclic graphs with exactly two main eigenvalues
- On graphs with given main eigenvalues
- An excluding algorithm for testing whether a family of graphs are determined by their generalized spectra
- The integral graphs with index 3 and exactly two main eigenvalues
- Unicyclic graphs with exactly two main eigenvalues
- Recent results in the theory of graph spectra
- Controllable subsets in graphs
- A new method for constructing graphs determined by their generalized spectrum
- A sufficient condition for a family of graphs being determined by their generalized spectra
- Further results on controllable graphs
- Controllability of Multi-Agent Dynamical Systems with a Broadcasting Control Signal
- A new graph product and its spectrum
- Controllable graphs with least eigenvalue at least -2
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