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» Computational Study on Dominating Set Problem of Planar Grap...
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85
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LICS
2007
IEEE
15 years 6 months ago
Locally Excluding a Minor
We introduce the concept of locally excluded minors. Graph classes locally excluding a minor are a common generalisation of the concept of excluded minor classes and of graph clas...
Anuj Dawar, Martin Grohe, Stephan Kreutzer
FCT
2009
Springer
15 years 6 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
129
Voted
NETWORKS
2011
14 years 2 months ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
105
Voted
STACS
2010
Springer
15 years 6 months ago
On Iterated Dominance, Matrix Elimination, and Matched Paths
We study computational problems that arise in the context of iterated dominance in anonymous games, and show that deciding whether a game can be solved by means of iterated weak d...
Felix Brandt, Felix A. Fischer, Markus Holzer
101
Voted
ICPP
2000
IEEE
15 years 4 months ago
Domination and Its Applications in Ad Hoc Wireless Networks with Unidirectional Links
We consider an efficient distributed algorithm for determining a dominating and absorbant set of vertices (mobile hosts) in a given directed graph that represents an ad hoc wirel...
Jie Wu, Hailan Li