کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416887 1336897 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characteristic polynomial of a generalized complete product of matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Characteristic polynomial of a generalized complete product of matrices
چکیده انگلیسی

For a simple graph G, let G¯ denote the complement of G relative to the complete graph and let PG(x)=det(xI-A(G)) where A(G) denotes the adjacency matrix of G. The complete product G∇H of two simple graphs G and H is the graph obtained from G and H by joining every vertex of G to every vertex of H. In [2] PG∇H(x) is represented in terms of PG, PG¯, PH and PH¯. In this paper we extend the notion of complete product of simple graphs to that of generalized complete product of matrices and obtain their characteristic polynomials.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 434, Issue 5, 1 March 2011, Pages 1362-1369
نویسندگان
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