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Matching nuts and bolts (Extended Abstract)
 

Summary: Matching nuts and bolts
(Extended Abstract)
Noga Alon
Manuel Blum
Amos Fiat
Sampath Kannan §
Moni Naor¶
Rafail Ostrovsky
Abstract
We describe a procedure which may be helpful to
any disorganized carpenter who has a mixed pile of
bolts and nuts and wants to find the corresponding
pairs of bolts and nuts. The procedure uses our
(and the carpenter's) ability to construct efficiently
highly expanding graphs. The problem considered
is given a collection of n bolts of distinct widths
and n nuts such that there is a 1-1 correspondence
between the nuts and bolts. The goal is to find for
each bolt its corresponding nut by comparing nuts
to bolts but not nuts to nuts or bolts to bolts. Our

  

Source: Alon, Noga - School of Mathematical Sciences, Tel Aviv University

 

Collections: Mathematics