کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599980 1336830 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sharp bounds on the spectral radius of a nonnegative matrix
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Sharp bounds on the spectral radius of a nonnegative matrix
چکیده انگلیسی

We give upper and lower bounds for the spectral radius of a nonnegative matrix using its row sums and characterize the equality cases if the matrix is irreducible. Then we apply these bounds to various matrices associated with a graph, including the adjacency matrix, the signless Laplacian matrix, the distance matrix, the distance signless Laplacian matrix, and the reciprocal distance matrix. Some known results in the literature are generalized and improved.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 439, Issue 10, 15 November 2013, Pages 2961–2970
نویسندگان
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