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» On shredders and vertex connectivity augmentation
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COMGEO
2008
ACM
13 years 7 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, ...
ESA
2005
Springer
145views Algorithms» more  ESA 2005»
14 years 29 days ago
Approximation Schemes for Minimum 2-Connected Spanning Subgraphs in Weighted Planar Graphs
Abstract. We present new approximation schemes for various classical problems of finding the minimum-weight spanning subgraph in edge-weighted undirected planar graphs that are re...
André Berger, Artur Czumaj, Michelangelo Gr...
COMGEO
2008
ACM
13 years 7 months ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
IPL
2007
87views more  IPL 2007»
13 years 7 months ago
The forwarding indices of augmented cubes
For a given connected graph G of order n, a routing R in G is a set of n(n − 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forw...
Min Xu, Jun-Ming Xu
MFCS
2004
Springer
14 years 24 days ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...