3-star Factors in Random D-regular Graphs
نویسندگان
چکیده
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been used to study the almost sure existence of, and the asymptotic distribution of, regular spanning subgraphs of various types in random d-regular graphs and hypergraphs. In this paper, we use the method to prove the almost sure existence of 3-star factors in random d-regular graphs. This is essentially the first application of the method to nonregular subgraphs in such graphs.
منابع مشابه
The asymptotic Distribution of the Number of 3-Star Factors in Random d-Regular Graphs
The Small Subgraph Conditioning Method has been used to study the almost sure existence and the asymptotic distribution of the number of regular spanning subgraphs of various types in random d -regular graphs. In this paper we use the method to determine the asymptotic distribution of the number of 3-star factors in random d -regular graphs for d ≥ 4.
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ورودعنوان ژورنال:
- Eur. J. Comb.
دوره 27 شماره
صفحات -
تاریخ انتشار 2006