کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6416879 | 1336897 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some properties of graphs determined by edge zeta functions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Some properties of graphs determined by edge zeta functions Some properties of graphs determined by edge zeta functions](/preview/png/6416879.png)
چکیده انگلیسی
In 1989, Hashimoto introduced an edge zeta function of a finite graph, which is a generalization of the Ihara zeta function. The edge zeta function is the reciprocal of a polynomial in twice as many indeterminants as edges in the graph and can be computed via a determinant expression. We look at graph properties which we can determine using the edge zeta function. In particular, the edge zeta function is enough to deduce the clique number, the number of Hamiltonian cycles, and whether a graph is perfect or chordal. Finally, we present a new example illustrating that the Ihara zeta function cannot necessarily do the same.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 434, Issue 5, 1 March 2011, Pages 1285-1294
Journal: Linear Algebra and its Applications - Volume 434, Issue 5, 1 March 2011, Pages 1285-1294
نویسندگان
Christopher Storm,