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Description
  • We study the computational complexity of the H-free Star System problem. We prove that when H is a path or a cycle on at most four vertices the problem is polynomial time solvable. In complement to this result, we show that if H belongs to a certain large class of graphs the H-free Star System problem is NP-complete. In particular, the problem is NP-complete when H is either a cycle or a path on at least five vertices. This yields a complete dichotomy for paths and cycles.
  • We study the computational complexity of the H-free Star System problem. We prove that when H is a path or a cycle on at most four vertices the problem is polynomial time solvable. In complement to this result, we show that if H belongs to a certain large class of graphs the H-free Star System problem is NP-complete. In particular, the problem is NP-complete when H is either a cycle or a path on at least five vertices. This yields a complete dichotomy for paths and cycles. (en)
Title
  • On the Complexity of Reconstructing H-Free Graphs from Their Star Systems
  • On the Complexity of Reconstructing H-Free Graphs from Their Star Systems (en)
skos:prefLabel
  • On the Complexity of Reconstructing H-Free Graphs from Their Star Systems
  • On the Complexity of Reconstructing H-Free Graphs from Their Star Systems (en)
skos:notation
  • RIV/00216208:11320/11:10103380!RIV12-MSM-11320___
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  • P(1M0545), Z(MSM0021620838)
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  • 2
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  • 218182
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  • RIV/00216208:11320/11:10103380
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  • Graph; Reconstruction; Complexity (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [FD64CCB69A4C]
http://linked.open...i/riv/nazevZdroje
  • Journal of Graph Theory
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  • 68
http://linked.open...iv/tvurceVysledku
  • Fomin, Fedor V.
  • Kratochvíl, Jan
  • Lokshtanov, Daniel
  • Mancini, Federico
  • Telle, Jan Arne
http://linked.open...ain/vavai/riv/wos
  • 000294818900003
http://linked.open...n/vavai/riv/zamer
issn
  • 0364-9024
number of pages
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  • 10.1002/jgt.20544
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  • 11320
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