کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
974225 932963 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Complex networks constructed from irrational number sequences
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Complex networks constructed from irrational number sequences
چکیده انگلیسی

In this paper, we construct (d,r)(d,r) networks from sequences of different irrational numbers. In detail, segment an irrational number sequence of length MM into groups of dd digits which represent the nodes while two consecutive groups overlap by rr digits (r=0,1,…,d−1r=0,1,…,d−1), and the undirected edges indicate the adjacency between two consecutive groups. (3,r)(3,r) and (4,r)(4,r) networks are respectively constructed from 14 different irrational numbers and their topological properties are examined. By observation, we find that network topologies change with different values of dd, rr and even sequence length MM instead of the types of irrational numbers, although they share some similar features with traditional random graphs. We make a further investigation to explain these interesting phenomena and propose the identical-degree random graph model. The results presented in this paper provide some insight into distributions of irrational number digits that may help better understanding of the nature of irrational numbers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 13, 1 July 2010, Pages 2654–2662
نویسندگان
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