Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

[1]   A.  Alhevaz, M.  Baghipur and S.  Paul, On the distance signlees Laplacian spectral radius and the distance signless Laplacian energy of graphs, Discrete Math. Algorithms Appl. 10(3) (2018), Article ID 1850035, 19 pages.

[2]   M.  Aouchiche and P.  Hansen, Two Laplacians for the distance matrix of a graph, Linear Algebra Appl. 439 (2013), 21–33.

[3]   M.  Aouchiche and P.  Hansen, Distance spectra of graphs: a survey, Linear Algebra Appl. 458 (2014), 301–386.

[4]   S.  K.  Ayyaswamy, S.  Balachandran, Y.  B.  Venkatakrishnan and I.  Gutman, Signless Laplacian Estrada index, MATCH Commun. Math. Comput. Chem. 66 (2011), 785–794.

[5]   Ş.  B.  Bozkurt, C.  Adiga and D.  Bozkurt, On the energy and Estrada index of strongly quotient graphs, Indian J. Pure Appl. Math. 43 (2012), 25–36.

[6]   Ş.  B.  Bozkurt, C.  Adiga and D.  Bozkurt, Bounds on the distance energy and the distance Estrada index of strongly quotient graphs, J. Appl. Math. (2013), Article ID 681019, 6 pages.

[7]   Ş. B.  Bozkurt and D.  Bozkurt, Bounds for the distance Estrada index of graphs, in: Proc. Int. Conf. Numer. Anal. Appl. Math. ICNAAM-2014, (2014), Article ID 1648.

[8]   Z.  Cvetkovski, Inequalities, Theorems, Techniques and Selected Problems, Springer, Berlin, 2012.

[9]   D.  M.  Cvetković, M.  Doob and H.  Sachs, Spectra of graphs. Theory and application, Pure and Applied Mathematics 87, Academic Press Inc., New York, 1980.

[10]   J.  A. de la Peña, I.  Gutman and J.  Rada, Estimating the Estrada index, Linear Algebra Appl. 427 (2007), 70–76.

[11]   H.  Deng, S.  Radenković and I.  Gutman, The Estrada index, in: D. Cvetković, I. Gutman (Eds.), Applications of Graph Spectra, Mathematical Institute, Belgrade, 2009, 123–140.

[12]   E.  Estrada, Characterization of 3-D molecular structure, Chemical Physics Letters 319 (2000), 713–718.

[13]   E.  Estrada, Characterization of the folding degree of proteins, Bioinformatics 18 (2002), 697–704.

[14]   E.  Estrada, Characterization of the amino acid contribution to the folding degree of proteins, Proteins 54 (2004), 727–737.

[15]   E.  Estrada, The Structure of Complex Networks-Theory and Applications, Oxford University Press, New York, 2012.

[16]   E.  Estrada, J. A. Rodriguez-Velázguez and M. Randić, Atomic branching in molecules, International Journal of Quantum Chemistry 106 (2006), 823–832.

[17]   G.  H.  Fath-Tabar and A.  R. ‘Ashrafi, Some remarks on Laplacian eigenvalues and Laplacian energy of graphs, Math. Commun. 15(2) (2010), 443–451.

[18]   C.  Godsil and G.  Royle, Algebraic Graph Theory, Springer, New York, 2001.

[19]   A.  D.  Güngör and Ş.  B.  Bozkurt, On the distance Estrada index of graphs, Hacet. J. Math. Stat. 38 (2009), 277–283.

[20]   I.  Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungsz. Graz 103 (1978), 1–22.

[21]   I.  Gutman, H.  Deng and S.  Radenković, The Estrada index: an updated survey, in: D. M. Cvetković, I.  Gutman (Eds.), Selected Topics on Applications of Graph Spectra, Matematički Institut SANU, Beograd, Serbia, 2011, 155–174.

[22]   I.  Gutman, E.  Estrada and J.  A.  Rodriguez-Velázquez, On a graph-spectrum-based structure descriptor, Croat. Chem. Acta 80 (2007), 151–154.

[23]   I.  Gutman, B.  Furtula, X.  Chen and J.  Qian, Resolvent Estrada index-computational and mathematical studies, MATCH Commun. Math. Comput. Chem. 74 (2015), 431–440.

[24]   I.  Gutman, C.  L.  Medina, P.  Pizarro and M.  Robbiano, Graphs with maximum Laplacian and signless Laplacian Estrada index, Discrete Math. 339 (2016), 2664–2671.

[25]   I.  Gutman and B.  Zhou, Laplacian energy of a graph, Linear Algebra Appl. 414 (2006), 29–37.

[26]   C.  X.  He, Y.  Liu and Z.  H.  Zhao, Some new sharp bounds on the distance spectral radius of graph, MATCH Commun. Math. Comput. Chem. 63 (2010), 783–788.

[27]   A.  Ilić and B.  Zhou, Laplacian Estrada index of trees, MATCH Commun. Math. Comput. Chem. 63 (2010), 769–776.

[28]   G.  Indulal, Sharp bounds on the distance spectral radius and the distance energy of graphs, Linear Algebra Appl. 430 (2009), 106–113.

[29]   G.  Indulal, The distance spectrum of graph compositions, Ars Math. Contemp. 2 (2009), 93–100.

[30]   G.  Indulal, I.  Gutman and A.  Vijayakumar, On distance energy of graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 461–472.

[31]   N.  Jafari Rad, A.  Jahanbani and I.  Gutman, Zagreb energy and Zagreb Estrada index of graphs, MATCH Commun. Math. Comput. Chem. 79 (2018), 371–386.

[32]   J.  Liu and B.  Liu, A Laplacian-energy-like invariant of a graph, MATCH Commun. Math. Comput. Chem. 59 (2008), 355–372.

[33]   S.  Pirzada, An Introduction to Graph Theory, Universities Press, Orient Blackswan, Hyderabad, 2012.

[34]   S.  Pirzada, H.  A.  Ganie, A.  Alhevaz and M.  Baghipur, On the sum of the powers of distance signless Laplacian eigenvalues of graphs, Indian J. Pure Appl. Math. (to appear).

[35]   Y.  Shang, More on the normalized Laplacian Estrada index, Appl. Anal. Discrete Math. 8 (2014), 346–357.

[36]   Y.  Shang, Distance Estrada index of random graphs, Linear Multilinear Algebra 63 (2015), 466–471.

[37]   Y.  Shang, Bounds of distance Estrada index of graphs, Ars Combin. 128 (2016), 287–294.

[38]   Y.  Shang, Perturbation results for the Estrada index in weighted networks, J. Phys. A: Math. Theor. 44 (2011), Article ID: 075003, 8 pages.

[39]   Y.  Shang, Local natural connectivity in complex networks, Chinese Physics Letters 28(6) (2011), Article ID: 068903, 4 pages.

[40]   Y.  Shang, Estimating the distance Estrada index, Kuwait J. Sci. 43(3) (2016), 14–19.

[41]   Y. Shang, Further results on distance Estrada index of random graphs, Bull. Malays. Math. Sci. Soc. 41(2) (2018), 537–544.

[42]   R.  Xing, B.  Zhou and J.  Li, On the distance signless Laplacian spectral radius of graphs, Linear Multilinear Algebra 62 (2014), 1377–1387.

[43]   B.  Zhou, On Estrada index, MATCH Commun. Math. Comput. Chem. 60 (2008), 485–492.

[44]   B.  Zhou, I.  Gutman and T.  Aleksić, A note on Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 60 (2008), 441–446.