کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599757 1631150 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integer invariants of abelian Cayley graphs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Integer invariants of abelian Cayley graphs
چکیده انگلیسی

Let G be a finite abelian group, let E be a subset of G, and form the Cayley (directed) graph of G with connecting set E  . We explain how, for various matrices associated to this graph, the spectrum can be used to give information on the Smith normal form. This technique is applied to several interesting examples, including matrices in the Bose–Mesner algebra of the Hamming association scheme H(n,q)H(n,q). We also recover results of Bai and Jacobson–Niedermaier–Reiner on the critical group of a Cartesian product of complete graphs.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 445, 15 March 2014, Pages 316–325
نویسندگان
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