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SR9 MINIMUM RECTANGLE
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Compression and Representation
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SR7 MAXIMUM COMMON
SR8 M
AXIMUM
C
OMMON
P
OINT
S
ET
I
NSTANCE
: Positive integer
d
, collection
of
d
-dimensional point sets.
S
OLUTION
: A point set
S'
congruent to a subset of each set
in the collection.
M
EASURE
: Size, i.e. number of elements, of the common point set
S'
.
Good News:
Approximable within
, where
n
is the size of the smallest
[
3
].
Bad News:
Not approximable within
for some
[
3
].
Comment:
Transformation from M
AXIMUM
I
NDEPENDENT
S
ET
. The bad news is valid even if a small gap is allowed between corresponding points.
Viggo Kann
Mon Apr 21 13:07:14 MET DST 1997