A k-star factor in a graph is a spanning subgraph whose components are k -stars. In these terms, we can rephrase the perfect matching result mentioned above as ...

The asymptotically almost sure hamiltonicity of random d-regular graphs (d ≥ 3) also implies the existence a.a.s. of a 2-star factor in such graphs when n ≡ 0 ...

Algorithmic lower bounds on the size sd of the largest independent sets of vertices in random d-regular graphs are presented and it is proved that, ...

Feb 19, 2010 · Abstract page for arXiv paper 1002.3657: The Asymptotic Distributions of 3-star factors in random d-regular graphs.

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 ...

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 ...

In this paper, we use the method to prove the almost sure existence of 3-star factors 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. This ...

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 ...

In this paper, we use the method to prove the almost sure existence of 3-star factors in random d-regular graphs. ... 3-star factors in random d-regular graphs.