Minimal change list for Lucas strings and some graph theoretic consequences
نویسندگان
چکیده
We give a minimal change list for the set of order p length-n Lucas strings, i.e., the set of length-n binary stringswith no p consecutive 1’s nor a 1 prefix and a 1m suffixwith +m p. The construction of this list proves also that the order p n-dimensional Lucas cube has a Hamiltonian path if and only if n is not a multiple of p + 1, and its second power always has a Hamiltonian path. © 2005 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 346 شماره
صفحات -
تاریخ انتشار 2005