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  • An L(2,1)-labeling of a graph is a mapping from its vertex set into a set of integers {0,..,k} such that adjacent vertices get labels that differ by at least 2 and vertices in distance 2 get different labels. The main result of the paper is an algorithm finding an optimal L(2,1)-labeling of a graph (i.e. an L(2,1)-labeling in which the largest label is the least possible) in time O *(7.4922^n ) and polynomial space. Moreover, a new interesting extremal graph theoretic problem is defined and solved.
  • An L(2,1)-labeling of a graph is a mapping from its vertex set into a set of integers {0,..,k} such that adjacent vertices get labels that differ by at least 2 and vertices in distance 2 get different labels. The main result of the paper is an algorithm finding an optimal L(2,1)-labeling of a graph (i.e. an L(2,1)-labeling in which the largest label is the least possible) in time O *(7.4922^n ) and polynomial space. Moreover, a new interesting extremal graph theoretic problem is defined and solved. (en)
Title
  • Determining the L(2, 1)-Span in Polynomial Space
  • Determining the L(2, 1)-Span in Polynomial Space (en)
skos:prefLabel
  • Determining the L(2, 1)-Span in Polynomial Space
  • Determining the L(2, 1)-Span in Polynomial Space (en)
skos:notation
  • RIV/00216208:11320/12:10131333!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GBP202/12/G061)
http://linked.open...iv/cisloPeriodika
  • Summer
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 130679
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  • RIV/00216208:11320/12:10131333
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  • algorithm; computational complexity; coloring; frequency assignment; graph (en)
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [00B46D4F9837]
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  • Lecture Notes in Computer Science
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  • 7551
http://linked.open...iv/tvurceVysledku
  • Kratochvíl, Jan
  • Liedloff, Mathieu
  • Junosza-Szaniawski, Konstanty
  • Rzazewski, Pawel
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-34611-8_15
http://localhost/t...ganizacniJednotka
  • 11320
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