کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897666 | 1631038 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph Improved results on Brouwer's conjecture for sum of the Laplacian eigenvalues of a graph](/preview/png/8897666.png)
چکیده انگلیسی
Let G be a graph with n vertices and m edges, and let Sk(G) be the sum of the k largest Laplacian eigenvalues of G. It was conjectured by Brouwer that Sk(G)â¤m+(k+12) holds for 1â¤kâ¤n. In this paper, we present several families of graphs for which Brouwer's conjecture holds, which improve some previously known results. We also establish a new upper bound on Sk(G) for split graphs, which is tight for each kâ{1,2,â¦,nâ1} and turns out to be better than that conjectured by Brouwer.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 557, 15 November 2018, Pages 327-338
Journal: Linear Algebra and its Applications - Volume 557, 15 November 2018, Pages 327-338
نویسندگان
Xiaodan Chen,