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Independent subsets of powers of paths, and Fibonacci cubes (1211.2251v1)
Published 9 Nov 2012 in cs.DM and math.CO
Abstract: We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the h-th power of a path ordered by inclusion. For h=1 such a value is the number of edges of a Fibonacci cube. We show that, in general, the number of edges of the diagram is obtained by convolution of a Fibonacci-like sequence with itself.