کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416802 | 1336872 | 2012 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the sandpile group of the cone of a graph
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
In this article, we study the sandpile group of the cone of a graph. After introducing the concept of uniform homomorphism of graphs we prove that every surjective uniform homomorphism of graphs induces an injective homomorphism between their sandpile groups. Also, we establish a relationship between the sandpile group of the cone of the cartesian product of graphs and the sandpile group of the cone of their factors. As an application of these results we obtain an explicit description of a set of generators of the sandpile group of the cone of the hypercube.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1154-1176
Journal: Linear Algebra and its Applications - Volume 436, Issue 5, 1 March 2012, Pages 1154-1176
نویسندگان
Carlos A. Alfaro, Carlos E. Valencia,