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GT4 MINIMUM INDEPENDENT
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Covering and Partitioning
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GT2 MINIMUM DOMINATING
GT3 M
INIMUM
E
DGE
D
OMINATING
S
ET
I
NSTANCE
: Graph
.
S
OLUTION
: An edge dominating set for
G
, i.e., a subset
such that for all
there is an
such that
and
are adjacent.
M
EASURE
: Cardinality of the edge dominating set, i.e.,
|E'|
.
Good News:
Approximable within 2 (any maximal matching).
Comment:
Admits a PTAS for planar graphs [
33
]
and for
-precision unit disk graphs [
181
].
Garey and Johnson:
GT2
Viggo Kann
Mon Apr 21 13:07:14 MET DST 1997