TY - JOUR
T1 - Deterministic Parameterized Algorithms for Matching and Packing Problems
AU - Zehavi, Meirav
N1 - Consideration for replacement: A better bound on the running time of WSP-Alg (see Section 5)
PY - 2013
Y1 - 2013
N2 - We present three deterministic parameterized algorithms for well-studied packing and matching problems, namely, Weighted q-Dimensional p-Matching ((q,p)-WDM) and Weighted q-Set p-Packing ((q,p)-WSP). More specifically, we present an O*(2.85043^{(q-1)p}) time deterministic algorithm for (q,p)-WDM, an O*(8.04143p) time deterministic algorithm for the unweighted version of (3,p)-WDM, and an O*((0.56201. 2.85043(q-1)p) time deterministic algorithm for (q,p)-WSP. Our algorithms significantly improve the previously best known O* running times in solving (q,p)-WDM and (q,p)-WSP, and the previously best known deterministic O* running times in solving the unweighted versions of these problems. Moreover, we present kernels of size O(eqq(p-1)q) for (q,p)-WDM and (q,p)-WSP, improving the previously best known kernels of size O(q!q(p-1)q) for these problems.
AB - We present three deterministic parameterized algorithms for well-studied packing and matching problems, namely, Weighted q-Dimensional p-Matching ((q,p)-WDM) and Weighted q-Set p-Packing ((q,p)-WSP). More specifically, we present an O*(2.85043^{(q-1)p}) time deterministic algorithm for (q,p)-WDM, an O*(8.04143p) time deterministic algorithm for the unweighted version of (3,p)-WDM, and an O*((0.56201. 2.85043(q-1)p) time deterministic algorithm for (q,p)-WSP. Our algorithms significantly improve the previously best known O* running times in solving (q,p)-WDM and (q,p)-WSP, and the previously best known deterministic O* running times in solving the unweighted versions of these problems. Moreover, we present kernels of size O(eqq(p-1)q) for (q,p)-WDM and (q,p)-WSP, improving the previously best known kernels of size O(q!q(p-1)q) for these problems.
KW - cs.DS
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JO - arXiv preprint
JF - arXiv preprint
IS - 1311.0484 [cs.DS]
ER -