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Arboricity : ウィキペディア英語版
Arboricity
The arboricity of an undirected graph is the minimum number of forests into which its edges can be partitioned. Equivalently it is the minimum number of spanning forests needed to cover all the edges of the graph.
==Example==

The figure shows the complete bipartite graph ''K''4,4, with the colors indicating a partition of its edges into three forests. ''K''4,4 cannot be partitioned into fewer forests, because any forest on its eight vertices has at most seven edges, while the overall graph has sixteen edges, more than double the number of edges in a single forest. Therefore, the arboricity of ''K''4,4 is three.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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