# On k-Enclosing Objects in a Coloured Point Set

@inproceedings{Barba2013OnKO, title={On k-Enclosing Objects in a Coloured Point Set}, author={Luis Barba and Stephane Durocher and Robert Fraser and Ferran Hurtado and Saeed Mehrabi and Debajyoti Mondal and Jason Morrison and Matthew Skala and Mohammad Abdul Wahid}, booktitle={CCCG}, year={2013} }

We introduce the exact coloured
k
-enclosing object
problem: given a set
P
of
n
points in
R
2
, each of
which has an associated colour in
f
1
;:::;t
g
, and a vec-
tor
c
= (
c
1
;:::;c
t
), where
c
i
2
Z
+
for each 1
i
t
,
nd a region that contains exactly
c
i
points of
P
of
colour
i
for each
i
. We examine the problems of nd-
ing exact coloured
k
-enclosing axis-aligned rectangles,
squares, discs, and two-sided dominating regions in a
t…

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