Energy, Laplacian energy of double graphs and new families of equienergetic graphs

[1] N. Abreu, D. M. Cardoso, I. Gutman, E. A. Martins, M. Robbiano, Bounds for the signless Laplacian energy, Linear Algebra Appl. 435, 10 (2011) 2365-2374. ⇒9010.1016/j.laa.2010.10.021Search in Google Scholar

[2] T. Aleksić, Upper bounds for Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 60, 2 (2008) 435-439. ⇒90Search in Google Scholar

[3] R. Balakrishnan, The energy of a graph, Linear Algebra Appl. 387 (2004) 287-295. ⇒9110.1016/j.laa.2004.02.038Search in Google Scholar

[4] A. S. Bonifacio, C. T. M. Vinagre, N. M. Abreu, Constructing pairs of equienergetic and non-cospectral graphs, Applied Mathematics Letters 21, 4 (2008) 338-341. ⇒97, 10510.1016/j.aml.2007.04.002Search in Google Scholar

[5] J. Carmona, I. Gutman, N. J. Tamblay, M. Robbiano, A decreasing sequence of upper bounds for the Laplacian energy of a tree, Linear Algebra Appl. 446 (2014) 304-313. ⇒9010.1016/j.laa.2014.01.013Search in Google Scholar

[6] Z. Chen, Spectra of extended double cover graphs, Czechoslovak Math. J. 54, 4 (2004) 1077-1082. ⇒91, 92, 97, 10110.1007/s10587-004-6452-2Search in Google Scholar

[7] D. Cvetkovic, M. Doob, H. Sachs, Spectra of Graphs: Theory and Application, Academic Press, New York, 1980. ⇒92, 93Search in Google Scholar

[8] D. Cvetkovic, S. K. Simic, Towards a spectral theory of graphs based on signless Laplacian I, Publ. Inst. Math (Beograd), 85 (2009) 19-33. ⇒9010.2298/PIM0999019CSearch in Google Scholar

[9] K. Ch. Das, I. Gutman, On incidence energy of graphs, Linear Algebra Appl. 446 (2014) 329-344. ⇒9010.1016/j.laa.2013.12.026Search in Google Scholar

[10] G. H. Fath-Tabar, A. R. Ashrafi, Some remarks on the Laplacian eigenvalues and Laplacian energy of graphs, Math. Commun. 15 (2010) 443-451. ⇒90Search in Google Scholar

[11] M. Fiedler, Algebraic connectivity of graphs, Czechoslovak Math. J. 23, 2 (1973) 298-305. ⇒9010.21136/CMJ.1973.101168Search in Google Scholar

[12] I. Gutman, The energy of a graph, Ber. Math. Statist. Sekt. Forschungszenturm Graz 103 (1978) 1-22. ⇒90Search in Google Scholar

[13] I. Gutman, On graphs whose energy exceeds the number of vertices, Linear Algebra Appl. 429 (2008) 2670-2677. ⇒9010.1016/j.laa.2007.09.024Search in Google Scholar

[14] I. Gutman, D. Kiarib, M. Mirzakhahb, On incidence energy of graphs, MATCH Commun. Math. Comput. Chem. 62, 3 (2009) 573-580. ⇒90Search in Google Scholar

[15] I. Gutman, D. Kiarib, M. Mirzakhahb, B. Zhoud, On incidence energy of a graphs, Linear Algebra Appl. 431, 8 (2009) 1223-1233. ⇒9010.1016/j.laa.2009.04.019Search in Google Scholar

[16] I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer Verlag, Berlin 1986. ⇒9010.1007/978-3-642-70982-1Search in Google Scholar

[17] I. Gutman, B. Zhou, Laplacian energy of a graph, Linear Algebra Appl. 414 (2006) 29-37. ⇒9010.1016/j.laa.2005.09.008Search in Google Scholar

[18] M. R. Jooyandeh, D. Kiani, M. Mirzakhah, Incidence energy of a graph, MATCH Commun. Math. Comput. Chem. 62, 3 (2009) 561-572. ⇒90Search in Google Scholar

[19] X. Li, Y. Shi, I. Gutman, Graph Energy, Springer, New York, 2012. ⇒9010.1007/978-1-4614-4220-2Search in Google Scholar

[20] J. Liu, B. Liu, E-L equienergetic graphs, MATCH Commun. Math. Comput. Chem. 66, 3 (2011) 971-976. ⇒90Search in Google Scholar

[21] M. S. Marino, N. Z. Salvi, Generalizing double graphs, Atti dell’ Accademia Peloritana dei pericolanti classe di scienze Fisiche, Matematiche e Naturali, Vol. 85 CIA 0702002 (2007), pp. 1-9. ⇒91, 93, 103Search in Google Scholar

[22] S. Radenkovi´c, I. Gutman, Total π-electron energy and Laplacian energy: How far the analog goes?, J. Serb. Chem. Soc. 72, 12 (2007) 1343-1350. ⇒9010.2298/JSC0712343RSearch in Google Scholar

[23] H. S. Ramane, H. B. Walikar, S. B. Rao, B. D. Acharya, P. R. Hampiholi, S. R. Jog, I. Gutman, Equienergetic graphs, Kragujevac J. Math. 26 (2004) 5-13. ⇒ 91, 103Search in Google Scholar

[24] L. Shi, H. Wang, The Laplacian incidence energy of graphs, Linear Algebra Appl. 439, 12 (2013) 4056-4062. ⇒9010.1016/j.laa.2013.10.028Search in Google Scholar

[25] M. P. Stanić, I. Gutman, On almost equienergetic graphs, MATCH Commun. Math. Comput. Chem. 70, 2 (2013) 681-688. ⇒90Search in Google Scholar

[26] Z. Tang, Y. Hou, On incidence energy of trees, MATCH Commun. Math. Comput. Chem. 66, 3 (2011) 977-984. ⇒90Search in Google Scholar

[27] H.Wang, H. Hua, Note on Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 59, 2 (2008) 373-380. ⇒90Search in Google Scholar

[28] F. Zhang, Matrix Theory, Basic Results and Techniques, Springer Verlag, Berlin, 1999. ⇒97Search in Google Scholar

[29] B. Zhou, More on energy and Laplacian energy, MATCH Commun. Math. Comput. Chem. 64, 1 (2010) 75-84. ⇒90Search in Google Scholar

[30] B. Zhou, I. Gutman, On Laplacian energy of graphs, MATCH Commun. Math. Comput. Chem. 57, 1 (2007) 211-220. ⇒90 Search in Google Scholar