On the domination number and the total domination number of Fibonacci cubes
Saygi, Elif
Fibonaccijeve kocke so posebni podgrafi hiperkock. Njihova dominantna števila in totalno dominantna števila se dobijo za nekaj majhnih dimenzij s pomočjo celoštevilskega linearnega programiranja. Za ...večje dimenzije so dane zgornje in spodnje meje za ta števila. V članku predstavimo polinome zgornjih in spodnjih stopenj za Fibonaccijeve kocke ki vsebujejo natančnejšo informacijo o stopnjah vseh točk. Z uporabo teh polinomov definiramo optimizacijske probleme, katerih rešitev daje boljše spodnje meje za dominantna števila in totalno dominantna števila Fibonaccijevih kock. Predstavimo tudi boljše zgornje meje za ta števila.
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