کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6423712 | 1632577 | 2016 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A construction of dense mixed graphs of diameter 2
ترجمه فارسی عنوان
ساخت گرافیت های مخلوط متراکم قطر 2
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کلمات کلیدی
گراف های مخلوط مور، هواپیما نمایشی،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
چکیده انگلیسی
A mixed graph is said to be dense, if its order is close to the Moore bound and it is optimal if there is not a mixed graph with the same parameters and bigger order. We give a construction that provides dense mixed graphs of undirected degree q, directed degree qâ12 and order 2q2, for q being an odd prime power. Since the Moore bound for a mixed graph with these parameters is equal to 9q2â4q+34 the defect of these mixed graphs is (qâ22)2â14. In particular we obtain a known mixed Moore graph of order 18, undirected degree 3 and directed degree 1, called Bosák's graph and a new mixed graph of order 50, undirected degree 5 and directed degree 2, which is proved to be optimal.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 54, October 2016, Pages 235-240
Journal: Electronic Notes in Discrete Mathematics - Volume 54, October 2016, Pages 235-240
نویسندگان
C. Araujo-Pardo, C. Balbuena, M. Miller, M. ŽdÃmalová,