Every rayless graph has an unfriendly partition
نویسندگان
چکیده
We prove that every rayless graph has an unfriendly partition.
منابع مشابه
Unfriendly partitions of a graph
It has been conjectured by Cowan and Emerson [3] that every graph has an unfriendly partition; i.e., there is a partition of the vertex set V= V, v V, such that every vertex of V, is joined to at least as many vertices in V, _, as to vertices in V,. It is easily seen that every rinite graph has such a partition, and hence by compactness so does any locally finite graph. We show that the conject...
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ورودعنوان ژورنال:
- Combinatorica
دوره 30 شماره
صفحات -
تاریخ انتشار 2009