کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599474 1631136 2014 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ky Fan theorem applied to Randić energy
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Ky Fan theorem applied to Randić energy
چکیده انگلیسی

Let G be a simple undirected graph of order n   with vertex set V(G)={v1,v2,…,vn}V(G)={v1,v2,…,vn}. Let didi be the degree of the vertex vivi. The Randić matrix R=(ri,j)R=(ri,j) of G is the square matrix of order n   whose (i,j)(i,j)-entry is equal to 1/didj if the vertices vivi and vjvj are adjacent, and zero otherwise. The Randić energy is the sum of the absolute values of the eigenvalues of R. Let X, Y, and Z be matrices, such that X+Y=ZX+Y=Z. Ky Fan established an inequality between the sum of singular values of X, Y, and Z. We apply this inequality to obtain bounds on Randić energy. We also present results pertaining to the energy of a symmetric partitioned matrix, as well as an application to the coalescence of graphs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 459, 15 October 2014, Pages 23–42
نویسندگان
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