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  • Ukazujeme, že pro každé číslo k je otázka existence (sigma,ro)-dominující množiny v daném k=degenerovaném grafu buď polynomiální nebo NP-úplná, a podáváme úplnou charakterizaci těchto případů pro konečné množiny sigma a ro. (cs)
  • We show that for every k, the problem of existence of a (sigma,rho)-dominating set performs a complete dichotomy when restricted to k-degenerate graphs, and we fully characterize the polynomial and NP-complete instances. It is further shown that the problem is polynomial time solvable if sigma, rho are such that every k-degenerate graph contains at most one (sigma, rho)-dominating set, and NP-complete otherwise. This relates to the concept of ambivalent graphs previously introduced for chordal graphs.
  • We show that for every k, the problem of existence of a (sigma,rho)-dominating set performs a complete dichotomy when restricted to k-degenerate graphs, and we fully characterize the polynomial and NP-complete instances. It is further shown that the problem is polynomial time solvable if sigma, rho are such that every k-degenerate graph contains at most one (sigma, rho)-dominating set, and NP-complete otherwise. This relates to the concept of ambivalent graphs previously introduced for chordal graphs. (en)
Title
  • Generalized domination in degenerate graphs: A complete dichotomy of computational complexity
  • Generalized domination in degenerate graphs: A complete dichotomy of computational complexity (en)
  • Zobecněná dominace v degenerovaných grafech: Úplná dichotomie výpočetní složitosti (cs)
skos:prefLabel
  • Generalized domination in degenerate graphs: A complete dichotomy of computational complexity
  • Generalized domination in degenerate graphs: A complete dichotomy of computational complexity (en)
  • Zobecněná dominace v degenerovaných grafech: Úplná dichotomie výpočetní složitosti (cs)
skos:notation
  • RIV/00216208:11320/08:00100095!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • P(1M0545), Z(MSM0021620838)
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  • 369052
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  • RIV/00216208:11320/08:00100095
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  • Generalized; domination; degenerate; graphs; complete; dichotomy; computational; complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [0D0A4D02D043]
http://linked.open...v/mistoKonaniAkce
  • Berlin
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  • Berlin
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  • Theory and Applications of Models of Computation, Proceedings
http://linked.open...in/vavai/riv/obor
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  • Kratochvíl, Jan
  • Golovach, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000255239500016
http://linked.open.../riv/zahajeniAkce
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number of pages
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  • Springer-Verlag
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  • 978-3-540-79227-7
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  • 11320
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