کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516215 | 1343771 | 2005 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Decompositions into 2-regular subgraphs and equitable partial cycle decompositions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Decompositions into 2-regular subgraphs and equitable partial cycle decompositions Decompositions into 2-regular subgraphs and equitable partial cycle decompositions](/preview/png/9516215.png)
چکیده انگلیسی
Two theorems are proved in this paper. Firstly, it is proved that there exists a decomposition of the complete graph of order n into t edge-disjoint 2-regular subgraphs of orders m1,m2,â¦,mt if and only if n is odd, 3⩽mi⩽n for i=1,2,â¦,t, and m1+m2+â¦+mt=n2. Secondly, it is proved that if there exists partial decomposition of the complete graph Kn of order n into t cycles of lengths m1,m2,â¦,mt, then there exists an equitable partial decomposition of Kn into t cycles of lengths m1,m2,â¦,mt. A decomposition into cycles is equitable if for any two vertices u and v, the number of cycles containing u and the number of cycles containing v differ by at most 1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Combinatorial Theory, Series B - Volume 93, Issue 1, January 2005, Pages 67-72
Journal: Journal of Combinatorial Theory, Series B - Volume 93, Issue 1, January 2005, Pages 67-72
نویسندگان
Darryn Bryant, Daniel Horsley, Barbara Maenhaut,