Structural and enumerative properties of the Fibonacci cubes
Discrete Mathematics
Fibonacci Cubes-A New Interconnection Topology
IEEE Transactions on Parallel and Distributed Systems
Cube Polynomial of Fibonacci and Lucas Cubes
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
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The Fibonacci cube @C"n is the subgraph of the hypercube induced by the binary strings that contain no two consecutive 1's. The Lucas cube @L"n is obtained from @C"n by removing vertices that start and end with 1. We characterize maximal induced hypercubes in @C"n and @L"n and deduce for any p@?n the number of maximal p-dimensional hypercubes in these graphs.