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CORR
2004
Springer
108views Education» more  CORR 2004»
13 years 9 months ago
The lattice dimension of a graph
The Fibonacci dimension fdim(G) of a graph G is introduced as the smallest integer f such that G admits an isometric embedding into f , the f-dimensional Fibonacci cube. We give b...
David Eppstein
DM
2011
273views Education» more  DM 2011»
13 years 4 months ago
The degree sequence of Fibonacci and Lucas cubes
The Fibonacci cube Γn is the subgraph of the n-cube induced by the binary strings that contain no two consecutive 1’s. The Lucas cube Λn is obtained
Sandi Klavzar, Michel Mollard, Marko Petkovsek
DM
2006
132views more  DM 2006»
13 years 9 months ago
Recursive fault-tolerance of Fibonacci cube in hypercubes
Fibonacci cube is a subgraph of hypercube induced on vertices without two consecutive 1's. If we remove from Fibonacci cube the vertices with 1 both in the first and the last...
Petr Gregor
CMA
2011
13 years 1 months ago
On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes
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 prove...
Aline Castro, Sandi Klavzar, Michel Mollard, Yoomi...