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» Linear Kernel for Planar Connected Dominating Set
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SIAMCOMP
1998
114views more  SIAMCOMP 1998»
13 years 4 months ago
Maximum k-Chains in Planar Point Sets: Combinatorial Structure and Algorithms
A chain of a set P of n points in the plane is a chain of the dominance order on P. A k-chain is a subset C of P that can be covered by k chains. A k-chain C is a maximum k-chain ...
Stefan Felsner, Lorenz Wernisch
FOCS
2009
IEEE
13 years 11 months ago
(Meta) Kernelization
Polynomial time preprocessing to reduce instance size is one of the most commonly deployed heuristics to tackle computationally hard problems. In a parameterized problem, every in...
Hans L. Bodlaender, Fedor V. Fomin, Daniel Lokshta...
MOBIHOC
2002
ACM
14 years 4 months ago
Message-optimal connected dominating sets in mobile ad hoc networks
A connected dominating set (CDS) for a graph G(V, E) is a subset V of V , such that each node in V - V is adjacent to some node in V , and V induces a connected subgraph. A CDS ha...
Khaled M. Alzoubi, Peng-Jun Wan, Ophir Frieder
IPPS
2002
IEEE
13 years 9 months ago
Dominating Set Based Bluetooth Scatternet Formation with Localized Maintenance
This paper addresses the problem of scatternet formation and maintenance for multi-hop Bluetooth based personal area and ad hoc networks with minimal communication overhead. Each ...
Ivan Stojmenovic
WG
2010
Springer
13 years 3 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang