2010 | OriginalPaper | Buchkapitel
PTAS for Minimum Connected Dominating Set with Routing Cost Constraint in Wireless Sensor Networks
verfasst von : Hongwei Du, Qiang Ye, Jioafei Zhong, Yuexuan Wang, Wonjun Lee, Haesun Park
Erschienen in: Combinatorial Optimization and Applications
Verlag: Springer Berlin Heidelberg
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To reduce routing cost and to improve road load balance, we study a problem of minimizing size of connected dominating set
D
under constraint that for any two nodes
u
and
v
, the routing cost through
D
is within a factor of
α
from the minimum, the cost of the shortest path between
u
and
v
. We show that for
α
≥ 5, this problem in unit disk graphs has a polynomial-time approximation scheme, that is, for any
ε
> 0, there is a polynomial-time (1 +
ε
)-approximation.