On Laplacian spectrum of unitary Cayley graphs

[1]R. Akhtar, M. Boggess, T. Jackson-Henderson, I. Jiménez, R. Karpman, A. Kinzel, D. Pritikin, On the unitary Cayley graph of a finite ring, Electron. J. Combin. 16 (2009) R117. ⇒25310.37236/206Search in Google Scholar

[2]A. Alhevaz, M. Baghipur, Hilal A. Ganie, S. Pirzada, Brouwer type conjecture for the eigenvalues of distance signless Laplacian matrix of a graph, Linear Multilinear Algebra 69, 13 (2021) 2423–2440. ⇒25410.1080/03081087.2019.1679074Search in Google Scholar

[3]S. Barik, R. B. Bapat, S. Pati, On the Laplacian spectra of product graphs, Appl. Anal. Discrete Math. 9 (2015) 39–58. ⇒25610.2298/AADM150218006BSearch in Google Scholar

[4]S. Barik, D. Kalita, S. Pati, G. Sahoo, Spectra of graphs resulting from various graph operations and products: a survey, Spec. Matrices 6 (2018) 323–342. ⇒26110.1515/spma-2018-0027Search in Google Scholar

[5]B. A. Rather, S. Pirzada, T. A. Naikoo, Y. Shang, On Laplacian eigenvalues of the zero-divisor graph associated to the ring of integers modulo n, Mathematics 9, 5 (2021) 482. ⇒25410.3390/math9050482Search in Google Scholar

[6]D. Cvetkovic, M. Doob, H. Sachs, Spectra of Graphs-Theory and Application, Academic Press, New York, 1980. ⇒252Search in Google Scholar

[7]H. A. Ganie, S. Pirzada, A. Iványi, Energy, Laplacian energy of double graphs and new families of equienergetic graphs, Acta Univ. Sapientiae, Inform. 6 (2014) 89–117. ⇒25410.2478/ausi-2014-0020Search in Google Scholar

[8]H. A. Ganie, S. Pirzada, E. T. Baskoro, On energy, Laplacian energy and p-fold graphs, Electron. J. Graph Theory Appl. 3 (2015) 94–107. ⇒25410.5614/ejgta.2015.3.1.10Search in Google Scholar

[9]H. A. Ganie, S. Pirzada, R. Ul Shaban, X. Li, Upper bounds for the sum of Laplacian eigenvalues of a graph and Brouwer’s conjecture, Discrete Math. Algorithms Appl. 11, 2 (2019) 195008 (15 pages). ⇒25410.1142/S1793830919500289Search in Google Scholar

[10]H. A. Ganie, S. Pirzada, B. A. Rather, V. Trevisan, Further developments on Brouwer’s conjecture for the sum of Laplacian eigenvalues of graphs, Linear Algebra Appl. 588 (2020) 1–18. ⇒25410.1016/j.laa.2019.11.020Search in Google Scholar

[11]H. A. Ganie, S. Pirzada, V. Trevisan, On the sum of k largest Laplacian eigenvalues of a graph and clique number, Mediterranean J. Mathematics 18 (2021) Article No. 15. ⇒25410.1007/s00009-020-01676-3Search in Google Scholar

[12]H. A. Ganie, S. Pirzada, B. A. Rather, R. Ul Shaban, On Laplacian eigenvalues of graphs and Brouwer’s conjecture, J. Ramanujan Math. Soc. 36,1 (2021) 13–21. ⇒254Search in Google Scholar

[13]I. Gutman, The Energy of a Graph: Old and New Results, Algebraic Combinatorics and Applications (Springer, Berlin), 2001. ⇒25310.1007/978-3-642-59448-9_13Search in Google Scholar

[14]I. Gutman, B. Zhou, Laplacian energy of a graph, Linear Algebra Appl. 414 (2006) 29–37. ⇒25410.1016/j.laa.2005.09.008Search in Google Scholar

[15]D. Kiani, M. M. H. Aghaei, Y. Meemark, B. Suntornpoch, Energy of unitary Cayley graphs and gcd-graphs, Linear Algebra Appl. 435 (2011) 1336–1343. ⇒253, 25410.1016/j.laa.2011.03.015Search in Google Scholar

[16]W. Klotz, T. Sander, Some properties of unitary Cayley graphs, Electron. J. Combin. 14 (2007) Research Paper 45, 12 pages. ⇒25210.37236/963Search in Google Scholar

[17]R. Merris, Laplacian graph eigenvectors, Linear Algebra Appl. 278 (1998) 221-236. ⇒25510.1016/S0024-3795(97)10080-5Search in Google Scholar

[18]S. Pirzada, An Introduction to Graph Theory, Universities Press, Hyderabad, India, 2012. ⇒252Search in Google Scholar

[19]S. Pirzada, H. A. Ganie, A. Alghamdi, On the sum of signless Laplacian spectra of graphs, Carpathian Math. Publications 11, 2 (2019) 407–417. ⇒25410.15330/cmp.11.2.407-417Search in Google Scholar