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» The Complexity of Graph Connectivity
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COCOON
2007
Springer
14 years 13 days 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 4 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 11 days 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 6 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 7 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