Two conjectured strengthenings of Turán's theorem
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Publication:6141065
DOI10.1016/j.laa.2023.12.010arXiv2101.05229OpenAlexW4389720797MaRDI QIDQ6141065
Paweł Wocjan, Clive Elphick, William Linz
Publication date: 22 January 2024
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.05229
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)
Cites Work
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- Conjectured bounds for the sum of squares of positive eigenvalues of a graph
- New spectral bounds on the chromatic number encompassing all eigenvalues of the adjacency matrix
- Upper bounds for the achromatic and coloring numbers of a graph
- An inertial lower bound for the chromatic number of a graph
- Some eigenvalue properties in graphs (conjectures of Graffiti -- II)
- Proof of a conjectured lower bound on the chromatic number of a graph
- Lower bounds for the clique and the chromatic numbers of a graph
- On the clique number of integral circulant graphs
- Spectral bounds for the clique and independence numbers of graphs
- Bounds of eigenvalues of graphs
- A bound on the spectral radius of graphs with \(e\) edges
- Cliques and the spectral radius
- Some Inequalities for the Largest Eigenvalue of a Graph
- Erdős–Ko–Rado Theorems: Algebraic Approaches
- Cliques in random graphs
- Eigenvalues and triangles in graphs
- Homomorphisms of strongly regular graphs
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