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» Augmenting the connectivity of geometric graphs
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98
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ENDM
2008
142views more  ENDM 2008»
14 years 10 months ago
Augmenting the Connectivity of Planar and Geometric Graphs
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
Ignaz Rutter, Alexander Wolff
88
Voted
COMGEO
2008
ACM
14 years 10 months ago
Augmenting the connectivity of geometric graphs
Let G be a connected plane geometric graph with n vertices. In this paper, we study bounds on the number of edges required to be added to G to obtain 2-vertex or 2-edge connected ...
Manuel Abellanas, Alfredo García Olaverri, ...
58
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SWAT
2000
Springer
98views Algorithms» more  SWAT 2000»
15 years 1 months ago
On the Minimum Augmentation of an l-Connected Graph to a k-Connected Graph
Toshimasa Ishii, Hiroshi Nagamochi
91
Voted
WADS
2007
Springer
91views Algorithms» more  WADS 2007»
15 years 4 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
ORL
2008
115views more  ORL 2008»
14 years 10 months ago
Maximum algebraic connectivity augmentation is NP-hard
The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a sp...
Damon Mosk-Aoyama