On the domination number and the total domination number of Fibonacci cubes

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Let Γn and Λn be the n-dimensional Fibonacci cube and Lucas cube, respectively. The domination number γ of Fibonacci cubes and Lucas cubes is studied. In particular it is proved that γ(Λn) is bounded below by ⌈ Ln−2n n−3 ⌉ , where Ln is the n-th Lucas number. The 2-packing number ρ of these cubes is also studied. It is proved that ρ(Γn) is bounded below by 2 blg nc 2 −1 and the exact values of ...

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ژورنال

عنوان ژورنال: Ars Mathematica Contemporanea

سال: 2019

ISSN: 1855-3974,1855-3966

DOI: 10.26493/1855-3974.1591.92e