References

  1. Alhevaz A., Baghipur M., Ganie H.A., Shang Y. Bounds for the generalized distance eigenvalues of a graph. Symmetry 2019, 11 (12), 1–17. doi:10.3390/sym11121529
  2. Alhevaz A., Baghipur M., Das K.C., Shang Y. Sharp bounds on (generalized) distance energy of a graphs. Mathematics 2020, 8 (3), 1–20. doi:10.3390/math8030426
  3. Aouchiche M., Hansen P. Distance spectra of graphs: A survey. Linear Algebra Appl. 2014, 458, 301–386. doi:10.1016/j.laa.2014.06.010
  4. Aouchiche M., Hansen P. A survey of Nordhaus-Gaddum type relations. Discrete Appl. Math. 2013, 161 (4–5), 466–546. doi:10.1016/j.dam.2011.12.018
  5. Baghipur M., Ghorbani M., Hilal Ganie A., Pirzada S. On the eigenvalues and spread of the generalized distance matrix of a graph. Comp. Appl. Math. to appear.
  6. Brouwer A., Haemers W. Spectra of Graphs. Springer, New York, 2012.
  7. Cui S.Y., He J.X., Tian G.X. The generalized distance matrix. Linear Algebra Appl. 2019, 563, 1–23. doi:10.1016/j.laa.2018.10.014
  8. Cui S.Y., Tian G.X., Zheng L. On the generalised distance spectral radius of graphs. arXiv:1901.07695v1 [math.CO]. doi:10.48550/arXiv.1901.07695
  9. Dı́az R.C., Pastén G., Rojo O. New results on the \(D_{\alpha}\)-matrix of connected graphs. Linear Algebra Appl. 2019, 577, 168–185. doi:10.1016/j.laa.2019.04.030
  10. Dı́az R.C., Pastén G., Rojo O. On the minimal \(D_{\alpha}\)-spectral radius of graphs subject to fixed connectivity. Linear Algebra Appl. 2020, 584, 353–370. doi:10.1016/j.laa.2019.09.027
  11. Ellingham M., Zha X. The spectral radius of graphs on surfaces. J. Combin. Theory Ser. B 2000, 78 (1), 45–56. doi:10.1006/jctb.1999.1926
  12. Harary F., Robinson W. The diameter of a graph and its complement. Amer. Math. Monthly 1985, 92 (3), 211–212. doi:10.1080/00029890.1985.11971579
  13. Nordhaus E.A., Gaddum J.W. On complementary graphs. Amer. Math. Monthly 1956, 63 (3), 175–177. doi:10.2307/2306658
  14. Pirzada S. An Introduction to Graph Theory. Universities Press, Orient BlackSwan, Hyderabad, 2012.
  15. Pirzada S., Ganie H.A., Rather B.A., Shaban R.U. On generalized distance energy of graphs. Linear Algebra Appl. 2020, 603, 1–19. doi:10.1016/j.laa.2020.05.022
  16. Pirzada S., Ganie H.A., Alhevaz A., Baghipur M. On spectral spread of generalized distance matrix of a graph. Linear Multilinear Algebra 2020. doi:10.1080/03081087.2020.1814194
  17. Pirzada S. On spectral radius of the generalized distance matrix of a graph. Discrete Math. Lett. 2021, 7, 21–23. doi:10.47443/dml.2021.0040
  18. Pirzada S., Rather B.A., Ganie H.A., Shaban R.U. On generalized distance spectral radius of a bipartite graph. Matematički Vesnik 2020, 72 (4), 327–336.