Fixed Parameter Algorithms for DOMINATING SET and Related Problems on Planar Graphs

Algorithmica ◽  
2002 ◽  
Vol 33 (4) ◽  
pp. 461-493 ◽  
Author(s):  
J. Alber ◽  
H. L. Bodlaender ◽  
H. Fernau ◽  
T. Kloks ◽  
R. Niedermeier
Keyword(s):  
Planar Graphs ◽  
Dominating Set ◽  
Fixed Parameter

scholarly journals Distributed Dominating Set Approximations beyond Planar Graphs

2019 ◽  
Vol 15 (3) ◽  
pp. 1-18 ◽  
Author(s):  
Saeed Akhoondian Amiri ◽  
Stefan Schmid ◽  
Sebastian Siebertz
Keyword(s):  
Planar Graphs ◽  
Dominating Set

scholarly journals Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs

2003 ◽  
pp. 829-844 ◽  
Author(s):  
Erik D. Demaine ◽  
Fedor V. Fomin ◽  
Mohammad Taghi Hajiaghayi ◽  
Dimitrios M. Thilikos
Keyword(s):  
Planar Graphs ◽  
Fixed Parameter ◽  
Map Graphs

scholarly journals Refined Search Tree Technique for Dominating Set on Planar Graphs

2001 ◽  
pp. 111-123 ◽  
Author(s):  
Jochen Alber ◽  
Hongbing Fan ◽  
Michael R. Fellows ◽  
Henning Fernau ◽  
Rolf Niedermeier ◽  
...  
Keyword(s):  
Planar Graphs ◽  
Dominating Set ◽  
Search Tree

scholarly journals New Results on Polynomial Inapproximabilityand Fixed Parameter Approximability of Edge Dominating Set

2014 ◽  
Vol 56 (2) ◽  
pp. 330-346 ◽  
Author(s):  
Bruno Escoffier ◽  
Jérôme Monnot ◽  
Vangelis Th. Paschos ◽  
Mingyu Xiao
Keyword(s):  
Dominating Set ◽  
Edge Dominating Set ◽  
Fixed Parameter

scholarly journals From Gap-Exponential Time Hypothesis to Fixed Parameter Tractable Inapproximability: Clique, Dominating Set, and More

2020 ◽  
Vol 49 (4) ◽  
pp. 772-810
Author(s):  
Parinya Chalermsook ◽  
Marek Cygan ◽  
Guy Kortsarz ◽  
Bundit Laekhanukit ◽  
Pasin Manurangsi ◽  
...  
Keyword(s):  
Dominating Set ◽  
Fixed Parameter Tractable ◽  
Exponential Time ◽  
Exponential Time Hypothesis ◽  
Fixed Parameter

scholarly journals Fixed-parameter algorithms for ( k , r )-center in planar graphs and map graphs

2005 ◽  
Vol 1 (1) ◽  
pp. 33-47 ◽  
Author(s):  
Erik D. Demaine ◽  
Fedor V. Fomin ◽  
Mohammadtaghi Hajiaghayi ◽  
Dimitrios M. Thilikos
Keyword(s):  
Planar Graphs ◽  
Fixed Parameter ◽  
Map Graphs

Boundary Classes of Planar Graphs

2008 ◽  
Vol 17 (2) ◽  
pp. 287-295 ◽  
Author(s):  
VADIM LOZIN
Keyword(s):  
Polynomial Time ◽  
Planar Graphs ◽  
Dominating Set ◽  
Helpful Tool ◽  
Tree Width

We analyse classes of planar graphs with respect to various properties such as polynomial-time solvability of thedominating setproblem or boundedness of the tree-width. A helpful tool to address this question is the notion of boundary classes. The main result of the paper is that for many important properties there are exactly two boundary classes of planar graphs.

scholarly journals Dominating set is fixed parameter tractable in claw-free graphs

2011 ◽  
Vol 412 (50) ◽  
pp. 6982-7000 ◽  
Author(s):  
Marek Cygan ◽  
Geevarghese Philip ◽  
Marcin Pilipczuk ◽  
Michał Pilipczuk ◽  
Jakub Onufry Wojtaszczyk
Keyword(s):  
Dominating Set ◽  
Fixed Parameter Tractable ◽  
Fixed Parameter
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