Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Linear-time computation of a linear problem kernel for dominating set on planar graphs. / Van Bevern, René; Hartung, Sepp; Kammer, Frank и др.
Parameterized and Exact Computation - 6th International Symposium, IPEC 2011, Revised Selected Papers. 2012. стр. 194-206 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Том 7112 LNCS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Linear-time computation of a linear problem kernel for dominating set on planar graphs
AU - Van Bevern, René
AU - Hartung, Sepp
AU - Kammer, Frank
AU - Niedermeier, Rolf
AU - Weller, Mathias
PY - 2012/3/22
Y1 - 2012/3/22
N2 - We present a linear-time kernelization algorithm that transforms a given planar graph G with domination number γ(G) into a planar graph G' of size O(γ(G)) with γ(G) = γ(G'). In addition, a minimum dominating set for G can be inferred from a minimum dominating set for G'. In terms of parameterized algorithmics, this implies a linear-size problem kernel for the NP-hard Dominating Set problem on planar graphs, where the kernelization takes linear time. This improves on previous kernelization algorithms that provide linear-size kernels in cubic time.
AB - We present a linear-time kernelization algorithm that transforms a given planar graph G with domination number γ(G) into a planar graph G' of size O(γ(G)) with γ(G) = γ(G'). In addition, a minimum dominating set for G can be inferred from a minimum dominating set for G'. In terms of parameterized algorithmics, this implies a linear-size problem kernel for the NP-hard Dominating Set problem on planar graphs, where the kernelization takes linear time. This improves on previous kernelization algorithms that provide linear-size kernels in cubic time.
UR - http://www.scopus.com/inward/record.url?scp=84858397665&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-28050-4_16
DO - 10.1007/978-3-642-28050-4_16
M3 - Conference contribution
AN - SCOPUS:84858397665
SN - 9783642280498
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 194
EP - 206
BT - Parameterized and Exact Computation - 6th International Symposium, IPEC 2011, Revised Selected Papers
T2 - 6th International Symposium on Parameterized and Exact Computation, IPEC 2011
Y2 - 6 September 2011 through 8 September 2011
ER -
ID: 22341312