Depth in Bingo Closure

Details Depth in Bingo Closure Depth in Bingo Closure

2011-09-29

arxiv.org/abs/1109.6693v1

Depth in bingo closure. Proceedings of the Fortieth Southeastern International Conference on Combinatorics, Graph Theory and C

Mathematics

Combinatorics

6 pages

Scientific paper

Bingo is played on a $5\times 5$ grid. Take the 25 squares to be the ground set of a closure system in which square $s$ is dependent on a set $S$ of squares iff $s$ completes a line - a row, column, or diagonal - with squares that are already in $S$. The closure of a set $S$ is obtained via an iterative process in which, at each stage, the squares dependent upon the current state are added. In this paper we establish for the $n \times n$ Bingo board the maximum number of steps required in this closure process.

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