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Article overview
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A Parameterized Perspective on $P_2$-Packings | Jianer Chen
; Henning Fernau
; Dan Ning
; Daniel Raible
; Jianxin Wang
; | Date: |
3 Apr 2008 | Abstract: | }We study (vertex-disjoint) $P_2$-packings in graphs under a parameterized
perspective. Starting from a maximal $P_2$-packing $p$ of size $j$ we use
extremal arguments for determining how many vertices of $p$ appear in some
$P_2$-packing of size $(j+1)$. We basically can ’reuse’ $2.5j$ vertices. We
also present a kernelization algorithm that gives a kernel of size bounded by
$7k$. With these two results we build an algorithm which constructs a
$P_2$-packing of size $k$ in time $Oh^*(2.482^{3k})$. | Source: | arXiv, 0804.0570 | Services: | Forum | Review | PDF | Favorites |
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