Improved Lower Bounds for the Link Length of Rectilinear Spanning Paths in Grids
نویسندگان
چکیده
We give improved lower bounds on the link length of spanning paths in a d-dimensional grid of size n. Kranakis et al. conjectured that the optimal link length is (1 + 1 d?1)n d?1 , but gave lower bounds not substantially larger than n d?1 ; we give a lower bound of (1 + 1 2d)n d?1 for all d > 2.
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عنوان ژورنال:
- Inf. Process. Lett.
دوره 68 شماره
صفحات -
تاریخ انتشار 1998