The complete classification of graphs whose second largest eigenvalue of the eccentricity matrix is less than 1

Cites Work

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On tricyclic graphs whose second largest eigenvalue does not exceed 1
Spectra of graphs
Spectra of generalized compositions of graphs and hierarchical networks
On graphs whose second largest eigenvalue equals 1 -- the star complement technique
On nested split graphs whose second largest eigenvalue is less than 1
On graphs with exactly one eigenvalue less than -1
On unicyclic graphs whose second largest eigenvalue does not exceed 1
The anti-adjacency matrix of a graph: eccentricity matrix
Spectra of graphs obtained by a generalization of the join graph operation
On graphs whose second largest eigenvalue is at most 1
On the eccentricity spectra of threshold graphs
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
The \(H\)-join of arbitrary families of graphs -- the universal adjacency spectrum
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
Graph energy based on the eccentricity matrix
On the spectral characterization of mixed extensions of \(P_3\)
Spectral characterization of mixed extensions of small graphs
On bicyclic graphs whose second largest eigenvalue does not exceed 1
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
On graphs with exactly one anti-adjacency eigenvalue and beyond
An extended eigenvalue-free interval for the eccentricity matrix of threshold graphs
Generalized line graphs with the second largest eigenvalue at most 1
The Laplacian spectra of graphs with a tree structure
Lexicographic polynomials of graphs and their spectra
Inequalities for Graph Eigenvalues
On the spectral radius and the energy of eccentricity matrices of graphs