کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8897830 1631045 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Aα-spectral radius of a graph
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the Aα-spectral radius of a graph
چکیده انگلیسی
Let G be a graph with adjacency matrix A(G) and let D(G) be the diagonal matrix of the degrees of G. For any real α∈[0,1], Nikiforov [3] defined the matrix Aα(G) asAα(G)=αD(G)+(1−α)A(G). The largest eigenvalue of Aα(G) is called the Aα-spectral radius of G. In this paper, we give three edge graft transformations on Aα-spectral radius. As applications, we determine the unique graph with maximum Aα-spectral radius among all connected graphs with diameter d, and determine the unique graph with minimum Aα-spectral radius among all connected graphs with given clique number. In addition, some bounds on the Aα-spectral radius are obtained.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 550, 1 August 2018, Pages 105-120
نویسندگان
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