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Milovanovic, Igor, Matejic, M., Milosevic, P., Milovanovic, Emina, Ali, Akbar. (1398). A note on some lower bounds of the Laplacian energy of a graph. , 8(2), 13-19. doi: 10.22108/toc.2019.115269.1616
Igor Z. Milovanovic; M. Matejic; P. Milosevic; Emina I. Milovanovic; Akbar Ali. "A note on some lower bounds of the Laplacian energy of a graph". , 8, 2, 1398, 13-19. doi: 10.22108/toc.2019.115269.1616
Milovanovic, Igor, Matejic, M., Milosevic, P., Milovanovic, Emina, Ali, Akbar. (1398). 'A note on some lower bounds of the Laplacian energy of a graph', , 8(2), pp. 13-19. doi: 10.22108/toc.2019.115269.1616
Milovanovic, Igor, Matejic, M., Milosevic, P., Milovanovic, Emina, Ali, Akbar. A note on some lower bounds of the Laplacian energy of a graph. , 1398; 8(2): 13-19. doi: 10.22108/toc.2019.115269.1616

A note on some lower bounds of the Laplacian energy of a graph

Transactions on Combinatorics
مقاله 2، دوره 8، شماره 2، شهریور 2019، صفحه 13-19    اصل مقاله (220.94 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2019.115269.1616
نویسندگان
Igor Z. Milovanovic1؛ M. Matejic2؛ P. Milosevic2؛ Emina I. Milovanovic1؛ Akbar Ali* 3
1Faculty of Electronic Engineering
2University of Nis, Serbia
3University of Management and Technology, Sialkot, Pakistan
چکیده
‎‎‎For a simple connected graph $G$ of order $n$ and size $m$‎, ‎the Laplacian energy of $G$ is defined as‎ ‎$LE(G)=\sum_{i=1}^n|\mu_i-\frac{2m}{n}|$ where $\mu_1‎, ‎\mu_2,\ldots‎,‎‎\mu_{n-1}‎, ‎\mu_{n}$‎ ‎are the Laplacian eigenvalues of $G$ satisfying $\mu_1\ge \mu_2\ge\cdots \ge \mu_{n-1}>‎ ‎\mu_{n}=0$‎. ‎In this note‎, ‎some new lower bounds on the graph invariant $LE(G)$ are derived‎. ‎The obtained results are compared with some already known lower bounds of $LE(G)$‎.
کلیدواژه‌ها
‎Laplacian eigenvalue‎؛ ‎Laplacian energy (of a‎ ‎graph)‎؛ ‎first Zagreb index
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