[1] A. E. Brouwer and W. H. Haemers, Spectra of graphs, Springer, New York, 2012.
[2] A. T. Balaban, D. Ciubotariu and M. Medeleanu, Topological indices and real number vertex invariants based on graph eigenvalues or eigenvectors, J. Chem. Inf. Comput. Sci., 31 (1991) 517–523.
[3] B. Liu, Combinatorial matrix theory, Second Edition, Science Press, Beijing, 2005.
[4] D. Cvetković, P. Rowlinson and S. Simić, An introduction to the theory of graph spectra, Cambridge University Press, Cambridge, 2010.
[5] H. Lin, R. Liu and X. Lu, The intertia and energy of the distance matrix of a connected graph, Linear Algebra Appl., 467 (2015) 29–39.
[6] H. Minc, Nonnegative matrices, J. Wiley, New York, 1988.
[7] I. Mahato, R. Gurusamy, M. R. Kannan and S. Arockiaraj, Spectra of eccentricity matrices of graphs, Discrete Appl. Math., 285 (2020) 252–260.
[8] I. Gutman and M. Medeleanu, On the structure-dependence of the largest eigenvalue of the distance matrix of an alkane, Indian J. Chem., 37 (1998) 569–573.
[9] J. A. Bondy and U. S. R. Murty, Graph theory, Springer, New York, 2008.
[10] J. R. S. Blair and B. Peyton, An introduction to chordal graphs and clique trees, Graph theory and sparse matrix computation, Math. Appl., 56 (1993) 1–29.
[11] J. Wang, M. Lu, F. Belardo and M. Randić, The anti-adjacency matrix of a graph: Eccentricity matrix, Discrete Appl. Math., 251 (2018) 299–309.
[12] J. Wang, L. Lu, M. Randić and G. Li, Graph energy based on the eccentricity matrix, Discrete Math., 342 (2019) 2636–2646.
[13] J. Wang, M. Lu, L. Lu and F. Belardo, Specrtal properties of the eccentricity matrix of graphs, Discrete Appl. Math., 279 (2020) 168–177.
[14] J. Wang, X. Lei, S. Li, W. Wei and X. Luo, On the eccentricity matrix of graphs and its applications to the boiling point of hydrocarbons, Chemom. Intell. Lab. Syst., 207 (2020).
[15] J. Wang, M. Lu, M. Brunetti, L. Lu and X. Huang, Spectral determinations and eccentricity matrix of graphs, Adv. Appl. Math., 139 (2022) 25 pp.
[16] J. Wang, X. Lei, M. Lu, S. Sorgun and H. Kücük, On graphs with exactly one anti-adjacency eigenvalue and beyond, Discrete Math., 346 (2023) 15 pp.
[17] M. Randić, DM AX -matrix of dominant distances in a graph, MATCH Commun. Math. Comput. Chem., 70 (2013) 221–238.
[18] M. Randić, R. Orel and A. T. Balaban, DM AX matrix invariants as graph descriptors, Graphs having the same Balaban index, MATCH Commun. Math. Comput. Chem., 70 (2013) 239–258.
[19] P. B. Henderson and Y. Zalcstein, A Graph-Theoretic Characterization of the PV class of Synchronizing Primitives, SIAM J. Comput., 6 (1977) 88–108.
[20] R. B. Bapat, Graphs and Matrices, Springer, London, 2014.
[21] S. Sorgun and H. Kücük, On two problems related to anti-adjacency (eccentricity) matrix, Discrete Appl. Math., 328 (2023) 1–9.
[22] W. Wei, X. He and S. Li, Solutions for two conjectures on the eigenvalues of the eccentricity matrix, and beyond, Discrete. Math., 343 (2020) 21 pp.
[23] W. Wei and S. Li, On the eccentricity spectra of complete multipartite graphs, Appl. Math. Comput., 424 (2022) 12 pp.
[24] X. Lei, J. Wang and G. Li, On the eigenvalues of eccentricity matrix of graphs, Discrete Appl. Math., 295 (2021) 134–147.
[25] X. Zhang and J. Zhou, The Distance Laplacian Spectral Radius of Clique Trees, Discrete Dyn. Nat. Soc., (2020) 8 pp. https://doi.org/10.1155/2020/8855987.
[26] X. Yang and L. Wang, The eccentricity matrix of a digraph, Discrete Appl. Math., 322 (2022) 61–73.
[27] X. Lei and J. Wang, Spectral determination of graphs with one positive anti-adjacency eigenvalue, Appl. Math. Comput., 422 (2022) 13 pp.
[28] Y. Jin, R. Gu and X. Zhang, The distance energy of clique trees, Linear Algebra Appl., 615 (2021) 1–10.
[29] Z. Qiu and Z. Tang, On the eccentricity spectra of threshold graphs, Discrete Appl. Math., 310 (2022) 75–85.
[30] Z. Qiu, Z. Tang and Q. Li, Eccentricity spectral radius of clique trees with given diameter, Discrete Appl. Math., 337 (2023) 202–217.
