کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4599823 | 1631153 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the normalized Laplacian matrix for signed graphs and derive interlacing results for its spectrum. In particular, we investigate the effects of several basic graph operations, such as edge removal and addition and vertex contraction, on the Laplacian eigenvalues. We also study vertex replication, whereby a vertex in the graph is duplicated together with its neighboring relations. This operation causes the generation of a Laplacian eigenvalue equal to one. We further generalize to the replication of motifs, i.e. certain small subgraphs, and show that the resulting signed graph has an eigenvalue 1 whenever the motif itself has eigenvalue 1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 442, 1 February 2014, Pages 165–177
Journal: Linear Algebra and its Applications - Volume 442, 1 February 2014, Pages 165–177
نویسندگان
Fatihcan M. Atay, Hande Tunçel,