پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 373 |
| تعداد مقالات | 3,302 |
| تعداد مشاهده مقاله | 4,893,750 |
| تعداد دریافت فایل اصل مقاله | 3,350,117 |
On the Seidel Laplacian spectrum of threshold graphs | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 2، 2024، صفحه 237-246 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15294.1021 | ||
| نویسندگان | ||
| Megha P M* 1؛ Parvathy K S2 | ||
| 1Mathematics department, K K T M Government College, Pullut, India | ||
| 2Mathematics Department, St. Mary's College, Thrissur, India | ||
| چکیده | ||
| A graph which does not contain C4, P4, or 2K2 as its induced subgraphs, is called a threshold graph. In this paper, we consider seidel laplacian matrix of a connected threshold graph and determine the seidel laplacian spectrum. Also, the characterization of threshold graphs having atmost four distinct seidel laplacian eigenvalues have been computed. | ||
| کلیدواژه‌ها | ||
| Threshold graph؛ Pineapple graph؛ Seidel Laplacian matrix؛ Equitable partition matrix | ||
| مراجع | ||
|
[1] D. D. Anderson, Weakly prime ideals, Houston J. Mathematics, 29 (2003), 831-840. [2] J. A. Huckaba, Commutative Rings with Zero Divisors, Marcel Dekker, New York, 1988. [3] A. Youse an Darani, Y. Khedmati Yengejeh, H. Pakmanesh and G. Navarro, Image encryption algorithm based on a new 3D chaotic system using cellular automata, Chaos, Solitons and Fractals, 179 (2024), 114-131. [4] A.E. Brouwer, W.H. Haemers, Spectra of Graphs, Springer, Heidelberg, 2012. [5] V.N. Mahadev and U.N. Peled, Threshold Graphs and Related Topics, Elsevier, 1995. [6] P.B. Henderson and Y. Zalcstein, A graph-theoretic characterization of the PV class of synchronizing primitives, SIAM J. Comput., 6 (1977), 88-108. [7] R. Grone, R. Merris, The Laplacian spectrum of a graph II, SIAM J. Discr. Math., 7 (1994), 221-229. [8] R. Grone, R. Merris and V. S. Sunder, The Laplacian spectrum of a graph, SIAM J. Matrix Anal. Appl., 11 (1990), 218-238. [9] J. H. Van Lint and J. J. Seidel, Equilateral point sets in elliptic geometry, Indag. Math., 28 (1966), 335-348. [10] W. H. Haemers, Seidel switching and graph energy, MATCH Communications in Mathematical and in Computer chemistry, 68 (2012), 653-659. [11] H.S. Ramane, R.B. Jummannaver and I. Gutman, Seidel Laplacian energy of graphs, Int. J. Appl. Graph Theory, l (2017), 74-82. [12] R.B. Bapat, On the adjacency matrix of a threshold graph, Linear Algebra Appl., 439 (2013), 30083015. [13] D.P. Jacobs, V. Trevisan and F. Tura, Eigenvalue location in threshold graphs, Linear Algebra Appl., 439 (2013), 27622773. [14] D. P. Jacobs, V. Trevisan and F. Tura, Eigenvalues and energy in threshold graphs, Linear Algebra Appl., 465 (2015), 412-425. [15] D. P. Jacobs, V. Trevisan and F. Tura, Computing the Characteristic Polynomial of Threshold Graphs, J. Graph Algorithms and Appl., 18 (2014), 709-719. [16] A. Banerjeea and R. Mehataria, On the normalized spectrum of threshold graphs, Linear Algebra Appl., 530 (2017), 288-304. [17] C.D. Godsil and G. Royle, Algebraic Graph Theory, Springer-Verlag, Berlin, 2001. [18] I. Gutman and B. Furtula, Survey of graph energies, Math. Interdisc. Res., 2 (2017), 85-129. [19] R. Merris, Laplacian matrices of graphs: A survey, Linear Algebra Appl., 197-198 (1994), 143-176. [20] R. Merris, A survey of graph Laplacians, Linear Multilin. Algebra, 39 (1995), 1931. [21] Y. Alavi, G. Chartrand, O. R. Oellermann and A. J. Schwenk, Graph Theory, Combinatorics and Applications, Wiley, New York, 1991, 871-898. [22] I. Sciriha and S. Farrugia, On the spectrum of threshold graphs, ISRN Discrete Math., 1 (2011), https://doi.org/10.5402/2011/108509. [23] E. Ghorbani, Eigenvalue-free interval for threshold graphs, Linear Algebra Appl., 583 (2019), 300-305. [24] L. Lu, Q.X. Huang and Z.Z. Lou, On the distance spectra of threshold graphs, Linear Algebra Appl., 553 (2018), 223-237. [25] C.O. Aguilar, M. Ficarra, N. Schurman and B. Sullivan, The role of the anti-regular graph in the spectral analysis of threshold graphs, Linear Algebra Appl., 588 (2020), 210-223. | ||
|
آمار تعداد مشاهده مقاله: 45 تعداد دریافت فایل اصل مقاله: 72 |
||