کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625527 1631765 2016 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A novel method for analyzing inverse problem of topological indices of graphs using competitive agglomeration
ترجمه فارسی عنوان
یک روش جدید برای تحلیل مسئله معکوس شاخص های توپولوژیکی گراف ها با استفاده از تجمع رقابتی
کلمات کلیدی
نظریه گراف، شاخص توپولوژیک، تجمع رقابتی، داده کاوی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

A novel method for analyzing the inverse problem of topological indices of graph is proposed in this paper, which applies the data mining technique to classification of graphs according to topological indices. Differing from the way of using topological indices to categorize graphs into different isomorphic classes, this method aims at dividing molecular graphs with n vertices into several compact classes according to their topological indices. Then the chemical and physical features of each kind of graph can be researched and new compounds can be found, which has great significance on bio-medical filed. In the experiment, three classes of simple connected graphs with 5, 6 and 7 vertices, respectively, are investigated and analyzed using the proposed method, the experimental results show the validity of it. However, there are still some problems needed to be researched further, such as selecting the vector of topological indices for clustering, selecting the distance between the vectors of topological indices, choosing the aspects to analyze the properties of each kind of graph after clustering, etc.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 291, 1 December 2016, Pages 115–121
نویسندگان
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