کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9512403 | 1632461 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalization of matching extensions in graphs-combinatorial interpretation of orthogonal and q-orthogonal polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Generalization of matching extensions in graphs-combinatorial interpretation of orthogonal and q-orthogonal polynomials Generalization of matching extensions in graphs-combinatorial interpretation of orthogonal and q-orthogonal polynomials](/preview/png/9512403.png)
چکیده انگلیسی
In this paper, we present generalization of matching extensions in graphs and we derive combinatorial interpretation of wide classes of orthogonal and q-orthogonal polynomials. Specifically, we assign general weights to complete graphs, cycles and chains or paths defining matching extensions in these graphs. The generalized matching polynomials of these graphs have recurrences defining various orthogonal polynomials-including classical and non-classical ones-as well as q-orthogonal polynomials. The Hermite, Gegenbauer, Legendre, Chebychev of the first and second kind, Jacobi and Pollaczek orthogonal polynomials and the continuous q-Hermite, Big q-Jacobi, Little q-Jacobi, Al Salam and alternative q-Charlier q-orthogonal polynomials appeared as applications of this study.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 296, Issues 2â3, 6 July 2005, Pages 199-209
Journal: Discrete Mathematics - Volume 296, Issues 2â3, 6 July 2005, Pages 199-209
نویسندگان
A. Kyriakoussis, M.G. Vamvakari,