9 P ACKING S TARS Looking at the Stars 1 Elena
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چکیده
The problem of packing k vertex-disjoint copies of a graph H into another graph G is NP-complete if H has more than two vertices in some connected component. In the framework of parameterized complexity we analyze a particular family of instances of this problem, namely the packing of stars. We give a quadratic kernel for packing k copies of H = K1,s. When we consider the special case of s = 2, i.e., H being a star with two leaves, we give a linear kernel and an algorithm running in time O(25.301kk2.5 + n).
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The problem of packing k vertex-disjoint copies of a graph H into another graph G is NP-complete if H has more than two vertices in some connected component. In the framework of parameterized complexity we analyze a particular family of instances of this problem, namely the packing of stars. We prove that packing k copies of H = K1,s is fixed-parameter tractable and give a quadratic kernel for ...
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تاریخ انتشار 2006