| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,421 |
| تعداد دریافت فایل اصل مقاله | 17,563,630 |
Note on the skew energy of oriented graphs | ||
| Transactions on Combinatorics | ||
| مقاله 24، دوره 4، شماره 1، خرداد 2015، صفحه 57-61 اصل مقاله (201.85 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2015.6117 | ||
| نویسندگان | ||
| Jun He* 1؛ Ting-Zhu Huang2 | ||
| 1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, PR China | ||
| 2School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, P.R. China | ||
| چکیده | ||
| The skew energy of oriented graphs is defined as the sum of the norms of all the eigenvalues of the skew adjacency matrix. In this note, we obtain some upper bounds for the skew energy of any oriented graphs, which improve the known upper bound obtained by Adiga et al. | ||
| کلیدواژهها | ||
| oriented graph؛ skew adjacency matrix؛ skew spectral radius؛ skew energy | ||
| مراجع | ||
|
C. Adiga, R. Balakrishnan and W. So (2010) The skew energy of a digraph Linear Algebra Appl. 432, 1825-1835
M. Cavers, S. M. Cioab, S. Fallat, D. A. Gregory, W. H. Haemers, S. J. Kirkland, J. J. McDonald and M. Tsatsomeros (2012) Skew-adjacency matrices of graphs Linear Algebra Appl. 436, 4512-4529
P. Chen, G. Xu and L. Zhang (2013) Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by 2 J. Inequal. Appl. 2013, 12
X. Li and H. Lian A survey on the skew energy of oriented graphs arXiv: 1304.5707
B. Shader and W. So (2009) Skew spectra of oriented graphs Electron. J. Combin. 16 (1), 6
G. Xu (2012) Some inequalities on the skew-spectral radii of oriented graphs J. Inequal. Appl. 2012, 13
G. Xu and S. Gong (2013) On oriented graphs whose skew spectral radii do not exceed 2 Linear Algebra Appl. 439, 2878-2887
X. Chen, X. Li and H. Lian Lower bounds of the skew spectral radii and skew energy of oriented graphs arxiv.org/abs/1405.4972
I. Gutman (1974) Bounds for total¦Ð-electron energy Chem. Phys. Lett. 24, 283-285
J. H. Koolen, V. Moulton and I. Gutman (2000) Improving the McClelland inequality for total¦Ð-electron energy Chem. Phys. Lett. 320, 213-216
J. H. Koolen and V. Moulton (2001) Maximal energy graphs Adv. Appl. Math. 26, 47-52
B. Zhou (2004) Energy of a graph MATCH Commun. Math. Comput. Chem. (51), 111-118
B. Zhou, I. Gutman and T. Aleksic (2008) A note on Laplacian energy of graphs MATCH Commun. Math. Comput. Chem. 60, 441-446
G. Tian (2011) On the skew energy of orientations of hypercubes Linear Algebra Appl. 435, 2140-2149
| ||
|
آمار تعداد مشاهده مقاله: 3,944 تعداد دریافت فایل اصل مقاله: 3,120 |
||