Bounds on graph eigenvalues. II
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Publication:2459961
DOI10.1016/J.LAA.2007.07.010zbMath1128.05035arXivmath/0612461OpenAlexW4213084269MaRDI QIDQ2459961
Publication date: 9 November 2007
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0612461
Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spektren endlicher Grafen
- Eigenvalues and degree deviation in graphs
- Upper bounds on the spectral radius of book-free and/or \(K_{2,l}\)-free graphs
- Spectral radii of graphs with given chromatic number
- Large matchings from eigenvalues
- Spectral bounds for the clique and independence numbers of graphs
- Some Inequalities for the Largest Eigenvalue of a Graph
- Spectral Radius and Degree Sequence
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