On Random Sections of the Cube
- Cite this article as:
- Lonke, Y. Discrete Comput Geom (2000) 23: 157. doi:10.1007/PL00009493
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Let f(j,k,n) denote the expected number of j -faces of a random k -section of the n -cube. A formula for f(0,k,n) is presented, and, for j\geq 1 , a lower bound for f(j,k,n) is derived, which implies a precise asymptotic formula for f(n-m,n-l,n) when 1≤ l<m are fixed integers and n→∈fty .