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» The Complexity of Graph Connectivity
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COCOON
2007
Springer
14 years 1 months ago
Connected Coloring Completion for General Graphs: Algorithms and Complexity
An r-component connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been w...
Benny Chor, Michael R. Fellows, Mark A. Ragan, Igo...
FSTTCS
2010
Springer
13 years 5 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
WADS
2007
Springer
91views Algorithms» more  WADS 2007»
14 years 1 months ago
Kernelization and Complexity Results for Connectivity Augmentation Problems
Connectivity augmentation problems ask for adding a set of at most k edges whose insertion makes a given graph satisfy a specified connectivity property, such as bridge-connectivi...
Jiong Guo, Johannes Uhlmann
AMC
2005
145views more  AMC 2005»
13 years 7 months ago
Connectivity graphs as models of local interactions
In this paper, we study graphs that arise from certain sensory and communication limitations on the local interactions in multi-agent systems. In particular, we show that the set ...
Abubakr Muhammad, Magnus Egerstedt
FSTTCS
2008
Springer
13 years 8 months ago
3-connected Planar Graph Isomorphism is in Log-space
We consider the isomorphism and canonization problem for 3-connected planar graphs. The problem was known to be L -hard and in UL ∩ coUL [TW08]. In this paper, we give a determin...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar