The cubicity of hypercube graphs
نویسندگان
چکیده
For a graph G, its cubicity cub(G) is the minimum dimension k such that G is representable as the intersection graph of (axis– parallel) cubes in k–dimensional space. (A k–dimensional cube is a Cartesian product R1 × R2 × · · · × Rk, where Ri is a closed interval of the form [ai, ai + 1] on the real line.) Chandran et al. [2] showed that for a d–dimensional hypercube Hd, d−1 log d ≤ cub(Hd) ≤ 2d. In this paper, we use probabilistic method to show that cub(Hd) = Θ “
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 308 شماره
صفحات -
تاریخ انتشار 2008