The extremal \(\alpha \)-index of graphs with no 4-cycle and 5-cycle
From MaRDI portal
Publication:2020664
DOI10.1016/J.LAA.2021.02.022zbMath1462.05245OpenAlexW3134249740MaRDI QIDQ2020664
Shu-Yu Cui, Gui-Xian Tian, Ya-Xue Chen
Publication date: 24 April 2021
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2021.02.022
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42)
Cites Work
- Proof of a conjecture on the spectral radius of \(C_4\)-free graphs
- The edge-density for \(K_{2,t}\) minors
- The maximum spectral radius of \(C_4\)-free graphs of given order and size
- On the \(\alpha\)-index of graphs with pendent paths
- The extremal \(\alpha \)-index of outerplanar and planar graphs
- Maxima of the \(Q\)-index: forbidden odd cycles
- Three conjectures in extremal spectral graph theory
- Bounds on graph eigenvalues. II
- A spectral condition for odd cycles in graphs
- Some new results in extremal graph theory
- On maximal paths and circuits of graphs
- Merging the A-and Q-spectral theories
- Maxima of the Q-index, Forbidden 4-ycle and 5-cycle
Related Items (9)
On the \(\alpha\)-index of minimally 2-connected graphs with given order or size ⋮ Extensions on spectral extrema of \(C_5/C_6\)-free graphs with given size ⋮ An \(A_\alpha\)-spectral Erdős-Pósa theorem ⋮ On \(A_{\alpha}\) spectral extrema of graphs forbidding even cycles ⋮ On the \(A_\alpha\)-spectral radius of graphs without linear forests ⋮ An \(A_{\alpha}\)-spectral Erdős-Sós theorem ⋮ Answers to Gould's question concerning the existence of chorded cycles ⋮ Ordering of graphs with fixed size and diameter by A α -spectral radii ⋮ The sharp upper bounds on the \(A_{\alpha}\)-spectral radius of \(C_4\)-free graphs and Halin graphs
This page was built for publication: The extremal \(\alpha \)-index of graphs with no 4-cycle and 5-cycle
