کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4602324 1631167 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the sandpile group of 3×n twisted bracelets
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On the sandpile group of 3×n twisted bracelets
چکیده انگلیسی

The sandpile group of a graph is an abelian group that arises in several contexts, and a refinement of the number of spanning trees of the graph. It is a subtle isomorphism invariant of the graph and closely connected with the graph Laplacian matrix. In this paper, the abstract structures of the sandpile groups on 3×n twisted bracelets are determined and it is shown that the sandpile groups of those twisted bracelets are always isomorphic the direct sum of two or three cyclic groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 8–9, 16 October 2008, Pages 1894-1904