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  • Many NP-hard graph problems can be efficiently solved on graphs of bounded tree-width. Several articles have recently shown that the so-called rank-width parameter also allows efficient solution of most of these NP-hard problems, while being less restrictive than tree-width. On the other hand however, there exist problems of practical importance which remain hard not only on graphs of bounded rank-width, but even of bounded tree-width or trees. We will introduce linear rank-width, a width parameter which is obtained from rank-width by a restriction analogous to the one used on tree-width to obtain path-width, and show that on the class of graphs of linear rank-width 1 it is possible to solve problems which are hard even on trees.
  • Many NP-hard graph problems can be efficiently solved on graphs of bounded tree-width. Several articles have recently shown that the so-called rank-width parameter also allows efficient solution of most of these NP-hard problems, while being less restrictive than tree-width. On the other hand however, there exist problems of practical importance which remain hard not only on graphs of bounded rank-width, but even of bounded tree-width or trees. We will introduce linear rank-width, a width parameter which is obtained from rank-width by a restriction analogous to the one used on tree-width to obtain path-width, and show that on the class of graphs of linear rank-width 1 it is possible to solve problems which are hard even on trees. (en)
Title
  • Algorithmic applications of linear rank-width
  • Algorithmic applications of linear rank-width (en)
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  • Algorithmic applications of linear rank-width
  • Algorithmic applications of linear rank-width (en)
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  • RIV/00216224:14330/10:00044285!RIV11-GA0-14330___
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  • P(GA201/08/0308), P(GC201/09/J021), S
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  • RIV/00216224:14330/10:00044285
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  • rank-width; parameterized algorithms (en)
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  • [16813C6B6912]
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  • Ganian, Robert
http://localhost/t...ganizacniJednotka
  • 14330
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