Independent subsets of powers of paths, and Fibonacci cubes
نویسندگان
چکیده
We provide a formula for the number of edges of the Hasse diagram of the independent subsets of the hth 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.
منابع مشابه
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The paper deals with some generalizations of Fibonacci and Lucas sequences, arising from powers of paths and cycles, respectively. In the first part of the work we provide a formula for the number of edges of the Hasse diagram of the independent sets of the h power of a path ordered by inclusion. For h = 1 such a diagram is called a Fibonacci cube, and for h > 1 we obtain a generalization of th...
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 40 شماره
صفحات -
تاریخ انتشار 2013