Article ID Journal Published Year Pages File Type
419819 Discrete Applied Mathematics 2012 5 Pages PDF
Abstract

The Fibonacci cube ΓnΓn is the subgraph of the hypercube induced by the binary strings that contain no two consecutive 1’s. The Lucas cube ΛnΛn is obtained from ΓnΓn by removing vertices that start and end with 1. We characterize maximal induced hypercubes in ΓnΓn and ΛnΛn and deduce for any p≤np≤n the number of maximal pp-dimensional hypercubes in these graphs.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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