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  • We study the existence of a path partition with prescribed endvertices in faulty hypercubes. We show that an obvious necessary condition for the existence of such a partition is also sufficient provided the number of faults and prescribed endvertices is small. As a corollary, we obtain a similar characterization for the existence of a hamiltonian cycle and a hamiltonian path of faulty hypercube. On the other hand, if the number of faults is not limited, the problems are NP-complete.
  • We study the existence of a path partition with prescribed endvertices in faulty hypercubes. We show that an obvious necessary condition for the existence of such a partition is also sufficient provided the number of faults and prescribed endvertices is small. As a corollary, we obtain a similar characterization for the existence of a hamiltonian cycle and a hamiltonian path of faulty hypercube. On the other hand, if the number of faults is not limited, the problems are NP-complete. (en)
  • Práce zkoumá rozklady vadné hyperkrychle na cesty s předepsanými koncovými vrcholy. (cs)
Title
  • Partitions of faulty hypercubes into paths with prescribed endvertices
  • Rozklady hyperkrychle s vadami na cesty s předepsanými koncovými vrcholy (cs)
  • Partitions of faulty hypercubes into paths with prescribed endvertices (en)
skos:prefLabel
  • Partitions of faulty hypercubes into paths with prescribed endvertices
  • Rozklady hyperkrychle s vadami na cesty s předepsanými koncovými vrcholy (cs)
  • Partitions of faulty hypercubes into paths with prescribed endvertices (en)
skos:notation
  • RIV/00216208:11320/08:00101032!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/08/P298), Z(MSM0021620838)
http://linked.open...iv/cisloPeriodika
  • 4
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 385988
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/08:00101032
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Partitions; faulty; hypercubes; paths; prescribed; endvertices (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9B7388A8E1C5]
http://linked.open...i/riv/nazevZdroje
  • SIAM Journal on Discrete Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 22
http://linked.open...iv/tvurceVysledku
  • Dvořák, Tomáš
  • Gregor, Petr
http://linked.open...ain/vavai/riv/wos
  • 000260848300012
http://linked.open...n/vavai/riv/zamer
issn
  • 0895-4801
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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