کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6871214 | 1440180 | 2018 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Efficient eight-regular circulants based on the Kronecker product
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Efficient eight-regular circulants based on the Kronecker product Efficient eight-regular circulants based on the Kronecker product](/preview/png/6871214.png)
چکیده انگلیسی
This paper presents a family of efficient eight-regular circulants representable as the Kronecker product of the dense four-regular circulant on 2r2+2r+1 nodes and the cycle C4r+3, where râ¡0,1,2,4 (mod 5). Each graph is of order 12(2d+1)(d2+1), where d denotes its diameter, d is odd, and dâ¡0,1,3,4 (mod 5). Its average distance is about two-thirds of its diameter. Other salient characteristics include high odd girth, three-colorability, and an edge decomposition into Hamiltonian cycles. The baseline of the present study is a theorem by Broere and Hattingh, which states that the Kronecker product of two circulants whose orders are co-prime is a circulant itself.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Applied Mathematics - Volume 243, 10 July 2018, Pages 207-218
Journal: Discrete Applied Mathematics - Volume 243, 10 July 2018, Pages 207-218
نویسندگان
Pranava K. Jha,