کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627060 1631801 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic Laplacian-energy-like invariant of lattices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotic Laplacian-energy-like invariant of lattices
چکیده انگلیسی

Let μ1⩾μ2⩾⋯⩾μnμ1⩾μ2⩾⋯⩾μn denote the Laplacian eigenvalues of a graph G with n   vertices. The Laplacian-energy-like invariant, denoted by LEL(G)=∑i=1n-1μi, is a novel topological index. In this paper, we show that the Laplacian-energy-like per vertex of various lattices is independent of the toroidal, cylindrical, and free boundary conditions. Simultaneously, the explicit asymptotic values of the Laplacian-energy-like in these lattices are obtained. Moreover, our approach implies that in general the Laplacian-energy-like per vertex of other lattices is independent of the boundary conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 253, 15 February 2015, Pages 205–214
نویسندگان
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