کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
11010160 1812551 2019 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Enumeration of Wiener indices in random polygonal chains
ترجمه فارسی عنوان
شمارش شاخص وینر در زنجیره های چند ضلعی تصادفی
کلمات کلیدی
شاخص وینر، زنجیره چند ضلعی تصادفی، معادله تفاوت، ارزش پیش بینی شده، میانگین ارزش،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
The Wiener index of a connected graph (molecule graph) G is the sum of the distances between all pairs of vertices of G, which was reported by Wiener in 1947 and is the oldest topological index related to molecular branching. In this paper, simple formulae of the expected value of the Wiener index in a random polygonal chain and the asymptotic behavior of this expectation are established by solving a difference equation. Based on the results above, we obtain the average value of the Wiener index of all polygonal chains with n polygons. As applications, we use the unified formulae to obtain the expected values of the Wiener indices of some special random polygonal chains which were deeply discussed in the context of organic chemistry or statistical physics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 469, Issue 2, 15 January 2019, Pages 537-548
نویسندگان
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