Degree Bounded Forest Covering
نویسندگان
چکیده
We prove that for an undirected graph with arboricity at most k+ǫ, its edges can be decomposed into k forests and a subgraph with maximum degree ⌈ 1−ǫ ⌉. The problem is solved by a linear programming based approach: we first prove that there exists a fractional solution to the problem, and then use a result on the degree bounded matroid problem by Király, Lau and Singh [5] to get an integral solution.
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تاریخ انتشار 2011