Maximal hypercubes in Fibonacci and Lucas cubes
نویسنده
چکیده
The Fibonacci cube Γn is the subgraph of the hypercube induced by the binary strings that contain no two consecutive 1’s. The Lucas cube Λn is obtained 5 from Γn by removing vertices that start and end with 1. We characterize maximal induced hypercubes in Γn and Λn and deduce for any p ≤ n the number of maximal p-dimensional hypercubes in these graphs.
منابع مشابه
خواص متریک و ترکیبیاتی مکعب‌های فیبوناتچی و لوکاس
An n-dimensional hypercube, Q_n, is a graph in which vertices are binary strings of length n where two vertices are adjacent if they differ in exactly one coordinate. Hypercubes and their subgraphs have a lot of applications in different fields of science, specially in computer science. This is the reason why they have been investigated by many authors during the years. Some of their subgraphs ...
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ورودعنوان ژورنال:
- Discrete Applied Mathematics
دوره 160 شماره
صفحات -
تاریخ انتشار 2012