Liu Jia-Bao, Cao Jinde, Hayat Tasawar, Alsaadi Fuad E
School of Mathematics and Physics, Anhui Jianzhu University, Hefei, 230601 People's Republic of China.
Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096 People's Republic of China ; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, 21589 Saudi Arabia.
Springerplus. 2016 Aug 24;5(1):1415. doi: 10.1186/s40064-016-3028-1. eCollection 2016.
Let G be a connected graph of order n with Laplacian eigenvalues [Formula: see text]. The Laplacian-energy-like invariant of G, is defined as [Formula: see text]. In this paper, we investigate the asymptotic behavior of the 3.6.24 lattice in terms of Laplacian-energy-like invariant as m, n approach infinity. Additionally, we derive that [Formula: see text], [Formula: see text] and [Formula: see text] have the same asymptotic Laplacian-energy-like invariants.
设(G)是一个阶数为(n)的连通图，其拉普拉斯特征值为([公式：见文本])。(G)的类拉普拉斯能量不变量定义为([公式：见文本])。在本文中，我们研究了(3.6.24)格在(m)、(n)趋于无穷时关于类拉普拉斯能量不变量的渐近行为。此外，我们推导得出([公式：见文本])、([公式：见文本])和([公式：见文本])具有相同的渐近类拉普拉斯能量不变量。
