پیوندهای مفید
آمار
| تعداد نشریات | 13 |
| تعداد شمارهها | 237 |
| تعداد مقالات | 2,406 |
| تعداد مشاهده مقاله | 3,887,890 |
| تعداد دریافت فایل اصل مقاله | 2,826,294 |
On the spectrum of Cayley graphs via character table | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 1، دوره 4، 1-2، شهریور 2014، صفحه 1-11 اصل مقاله (1.27 M) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2014.477 | ||
| نویسندگان | ||
| Farzaneh Nowroozi؛ Modjtaba Ghorbani | ||
| Department of Mathematics, Faculty of Science, Shahid RajaeeTeacher Training University, Tehran, 16785 – 136, I R. Iran | ||
| تاریخ دریافت: 15 تیر 1392، تاریخ بازنگری: 22 بهمن 1392، تاریخ پذیرش: 11 خرداد 1393 | ||
| چکیده | ||
| A Cayley graph can be consider as an interpretation of group representation. This means that one can construct the Cayley graph Г = Cay(G, S) by having the vertex set to be the elements of G with g~h if and only if hg-1 ε S. In this paper, we focus our attention on Cayley graphs with a normal symmetric subset. We also determine all eigenvalues of Buckminster fullerene by constructing Cay(G,S) where G is the alternating group A5. | ||
| کلیدواژهها | ||
| eigenvalue؛ Cayley graph؛ characteristic polynomial | ||
| مراجع | ||
|
[1] A. R. Abdollahi, A. Loghman, Cayley graphs isomorphic to the product of two Cayley graphs, Ars Combin., in press. [2] A. R. Ashrafi, M. Hamadanian, The full non-rigid group theory for tetra ammine platinum(II), Croatica Chemica Acta, 76 (2003) 299-303. [3] N. Biggs, Algebraic Graph Theory, Cambridge Univ. Press, Cambridge, 1974. [4] D. Cvetković, M. Doob, H. Sachs, Spectra of Graphs-Theory and Application, Deutscher Verlag der Wissenschaften, Berlin, Academic Press, third edition, Johann Ambrosius Barth Verlag, 1995. [5] M. DeVos, L. Goddyn, B. Mohar, R. Šámal, Cayley sum graphs and eigenvalues of (3,6)-fullerenes, J. Comb. Theory Series B, 99 (2009) 358-369. [6] P. Diaconis, M. Shahshahani, Generating a random permutation with random transposition, Zeit. für Wahrscheinlichkeitstheorie verw. Gebiete, 57 (1981) 159-179. [7] M. Deza, P. W Fowler, A. Rassat, K. M Rogers, Fullerenes as tilings of surfaces, J. Chem. Inf. Comp. Sci., 40 (2000) 550–558. [8] C. Domb, On the theory of cooperative phenomena in crystals, Adv. in Phys., 9 (1960) 149–361. [9] E. Estrada, Characterization of 3D molecular structure, Chem. Phys. Lett., 319 (2000) 713-718. [10] I. Gutman, The energy of a graph, Ber. Math.Statist. Sekt. Forschungsz. Graz, 103 (1978) 1-22. [11] M. Ghorbani, E. Bani-Asadi, Remarks on characteristic coefficients of fullerene graphs, Appl. Math.Comput., 230 (2014) 428–435. [12] M. Ghorbani, E. Naserpour, The Clar Number of Fullerene C24n and Carbon Nanocone CNC4[n] , Iranian J. Math. Chem., 1 (2011) 53-59. [13] A. Ilić, The energy of unitary cayley graphs, Linear Algebra and its Applications, 431 (2009) 1881–1889. [14] H. N. Ramaswamy, C. R. Veena, On the energy of unitary Cayley graphs, Electron. J. Combin. 16 (2009) #N24. [15] G. James, M. Liebeck, Representation and characters of groups, Cambridge University Press, Cambridge, 1993. [16] H. W. Kroto, J. E. Fichier, D. E Cox, The Fulerene, Pergamon Press, New York, 1993. [17] H. W. Kroto, J. R. Heath, S. C. O’Brien, R. F. Curl, R.E. Smalley, Nature, 318 (1985) 162. [18] X. Meng, Q. Huang, Z. Zhang, Fullerenes which are Cayley Graphs, MATCH Commun. Math. Comput. Chem., 56 (2006) 493-500. [19] D. E Manolopoulos, D. R Woodall, P.W. Fowler, Electronic stability of fullerenes eigenvalue theorems for leapfrog carbon clusters, J. Chem. Soc. Faraday Trans., 88 (1992) 2427–2435. [20] M. Schönert, H. U. Besche, Th. Breuer, F. Celler, B.Eick, V. Felsch, A. Hulpke, J. Mnich, W. Nickel, G. Pfeiffer, U. Polis, H. Theißen, A. Niemeyer, GAP, Groups, Algorithms and Programming, Lehrstuhl De für Mathematik, RWTH, Aachen, 1995. | ||
|
آمار تعداد مشاهده مقاله: 3,108 تعداد دریافت فایل اصل مقاله: 2,092 |
||