کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9498337 | 1631193 | 2005 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Characteristic polynomials of digraphs having a semi-free action
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Let Ï be a semi-free action of a group G on a finite digraph Î. The front divisor Î/Ï(Ï) of Î has as vertex set the set of the vertex orbits of Ï and there are t arcs going from u¯ to v¯ in Î/Ï(Ï) if from any vertex u of the orbit u¯ there are t arcs of Î going towards the vertices in v¯. Our main result is that the characteristic polynomial of Î is a product of the characteristic polynomial of its front divisor Î/Ï(Ï) and polynomials associated with the free part of Î under Ï. This work extends earlier work of Lee and Kim [Characteristic polynomials of graphs having a semifree action, Linear Algebra Appl. 307 (2000) 35-46].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 408, 1 October 2005, Pages 189-206
Journal: Linear Algebra and its Applications - Volume 408, 1 October 2005, Pages 189-206
نویسندگان
Aiping Deng, Yaokun Wu,