کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4651074 1632445 2007 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Partition of a graph into cycles and vertices
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Partition of a graph into cycles and vertices
چکیده انگلیسی

Let G be a graph of order n and k   a positive integer. A set of subgraphs H={H1,H2,…,Hk}H={H1,H2,…,Hk} is called a k-weak cycle partition (abbreviated k-WCP) of G   if H1,…,HkH1,…,Hk are vertex disjoint subgraphs of G   such that V(G)=⋃i=1kV(Hi) and for all i  , 1⩽i⩽k1⩽i⩽k, HiHi is a cycle or K1K1 or K2K2. It has been shown by Enomoto and Li that if |G|=n⩾k|G|=n⩾k and if the degree sum of any pair of nonadjacent vertices is at least n-k+1n-k+1, then G has a k-WCP. We prove that if G has a k  -WCP and if the minimum degree is at least (n+2k)/3(n+2k)/3, then G can be partitioned into k   subgraphs HiHi, 1⩽i⩽k1⩽i⩽k, where each HiHi is a cycle or K1K1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 307, Issues 11–12, 28 May 2007, Pages 1436–1440
نویسندگان
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