SIAM Journal on Discrete Mathematics
On wirelength estimations for row-based placement
ISPD '98 Proceedings of the 1998 international symposium on Physical design
Graph classes: a survey
Permutation Graphs and Transitive Graphs
Journal of the ACM (JACM)
Improved Steiner tree approximation in graphs
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Connected Domination and Steiner Set on Asteroidal Triple-Free Graphs
WADS '93 Proceedings of the Third Workshop on Algorithms and Data Structures
RNC-Approximation Algorithms for the Steiner Problem
STACS '97 Proceedings of the 14th Annual Symposium on Theoretical Aspects of Computer Science
Improved Non-approximability Results for Vertex Cover with Density Constraints
COCOON '96 Proceedings of the Second Annual International Conference on Computing and Combinatorics
Improved Methods for Approximating Node Weighted Steiner Trees and Connected Dominating Sets
Proceedings of the 18th Conference on Foundations of Software Technology and Theoretical Computer Science
Approximation Algorithms for Connected Dominating Sets
ESA '96 Proceedings of the Fourth Annual European Symposium on Algorithms
Algorithms for graphs with small octopus
Discrete Applied Mathematics
A link stability-based multicast routing protocol for wireless mobile ad hoc networks
Journal of Network and Computer Applications
Wireless Personal Communications: An International Journal
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A dominating target of a graph G=(V,E) is a set of vertices T s.t. for all W⊆V, if T⊆W and induced subgraph on W is connected, then W is a dominating set of G. The size of the smallest dominating target is called dominating target number of the graph, dt(G). We provide polynomial time algorithms for minimum connected dominating set, Steiner set, and Steiner connected dominating set in dominating-pair graphs (i.e., dt(G)=2). We also give approximation algorithm for minimum connected dominating set with performance ratio 2 on graphs with small dominating targets. This is a significant improvement on appx ≤d(opt + 2) given by Fomin et.al. [2004] on graphs with small d-octopus. Classification: Dominating target, d-octopus, Dominating set, Dominating-pair graph, Steiner tree.