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» The Complexity of Graph Connectivity
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COMGEO
2008
ACM
13 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, ...
JGT
2010
103views more  JGT 2010»
13 years 8 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu
STOC
2010
ACM
170views Algorithms» more  STOC 2010»
14 years 2 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
INFOCOM
2010
IEEE
13 years 8 months ago
Know Thy Neighbor: Towards Optimal Mapping of Contacts to Social Graphs for DTN Routing
—Delay Tolerant Networks (DTN) are networks of self-organizing wireless nodes, where end-to-end connectivity is intermittent. In these networks, forwarding decisions are generall...
Theus Hossmann, Thrasyvoulos Spyropoulos, Franck L...
CDC
2008
IEEE
129views Control Systems» more  CDC 2008»
14 years 4 months ago
On the structure of graph edge designs that optimize the algebraic connectivity
— We take a structural approach to the problem of designing the edge weights in an undirected graph subject to an upper bound on their total, so as to maximize the algebraic conn...
Yan Wan, Sandip Roy, Xu Wang, Ali Saberi, Tao Yang...