Extremal problems for the eccentricity matrices of complements of trees
DOI10.13001/ela.2023.7781arXiv2301.01708OpenAlexW4381803886MaRDI QIDQ6114790
M. Rajesh Kannan, Iswar Mahato
Publication date: 15 August 2023
Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2301.01708
eccentricity matrix\(\mathcal{E}\)-energy\(\mathcal{E}\)-spectral radiuscomplements of treesleast \(\mathcal{E}\)-eigenvaluesecond largest \(\mathcal{E}\)-eigenvalue
Trees (05C05) Extremal problems in graph theory (05C35) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)
Cites Work
- The least eigenvalue of the complements of trees
- Spectra of graphs
- Sharp lower bounds on the eigenvalues of trees
- On the two largest eigenvalues of trees
- The distance spectrum of complements of trees
- Eccentricity energy change of complete multipartite graphs due to edge deletion
- Spectral determination of graphs with one positive anti-adjacency eigenvalue
- On the eccentricity spectra of complete multipartite graphs
- On the eccentricity matrices of trees: inertia and spectral symmetry
- Spectral properties of the eccentricity matrix of graphs
- Solutions for two conjectures on the eigenvalues of the eccentricity matrix, and beyond
- Spectra of eccentricity matrices of graphs
- Energy and inertia of the eccentricity matrix of coalescence of graphs
- On the largest and least eigenvalues of eccentricity matrix of trees
- On distance signless Laplacian spectrum of the complements of unicyclic graphs and trees
- Graph energy based on the eccentricity matrix
- The least eigenvalue of the signless Laplacian of the complements of trees
- On the eigenvalues of trees
- On the eigenvalues of eccentricity matrix of graphs
- Characterizing the extremal graphs with respect to the eccentricity spectral radius, and beyond
- Spectral determinations and eccentricity matrix of graphs
- Sines and Cosines of Angles in Arithmetic Progression
- On the spectral radius and the energy of eccentricity matrices of graphs
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