کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627253 | 1631804 | 2015 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Discrimination power of graph measures based on complex zeros of the partial Hosoya polynomial
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Discrimination power of graph measures based on complex zeros of the partial Hosoya polynomial Discrimination power of graph measures based on complex zeros of the partial Hosoya polynomial](/preview/png/4627253.png)
چکیده انگلیسی
In this paper we define novel graph measures based on the complex zeros of the partial Hosoya polynomial. The kth coefficient of this polynomial, defined for an arbitrary vertex v of a graph, is the number of vertices at distance k from v. Based on the moduli of the complex zeros, we calculate novel graph descriptors on exhaustively generated graphs as well as on trees. We then evaluate the uniqueness of these measures, i.e., their ability to distinguish between non-isomorphic graphs. Detecting isomorphism for arbitrary graphs remains a challenging problem for which highly discriminating graph invariants are useful heuristics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 250, 1 January 2015, Pages 352-355
Journal: Applied Mathematics and Computation - Volume 250, 1 January 2015, Pages 352-355
نویسندگان
Matthias Dehmer, Yongtang Shi, Abbe Mowshowitz,