Counting disjoint hypercubes in Fibonacci cubes
نویسندگان
چکیده
We provide explicit formulas for the maximum number qk(n) of disjoint subgraphs isomorphic to the k-dimensional hypercube in the n-dimensional Fibonacci cube Γn for small k, and prove that the limit of the ratio of such cubes to the number of vertices in Γn is 1 2k for arbitrary k. This settles a conjecture of Gravier, Mollard, Špacapan and Zemljič about the limiting behavior of qk(n).
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 215 شماره
صفحات -
تاریخ انتشار 2016