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» Lower bounds for dynamic connectivity
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JGT
2007
68views more  JGT 2007»
15 years 5 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
ICRA
2008
IEEE
135views Robotics» more  ICRA 2008»
16 years 6 days ago
Decentralized connectivity maintenance in mobile networks with bounded inputs
Abstract— A distributed control law that guarantees connectivity maintenance in a network of multiple mobile agents is presented. The control law respects the limited sensing cap...
Dimos V. Dimarogonas, Karl Henrik Johansson
EJC
2011
15 years 23 days ago
Matching and edge-connectivity in regular graphs
Henning and Yeo proved a lower bound for the minimum size of a maximum matching in a connected k-regular graphs with n vertices; it is sharp infinitely often. In an earlier paper...
Suil O, Douglas B. West
AAECC
2003
Springer
119views Algorithms» more  AAECC 2003»
15 years 11 months ago
Optimal 2-Dimensional 3-Dispersion Lattices
We examine 2-dimensional 3-dispersion lattice interleavers in three connectivity models: the rectangular grid with either 4 or 8 neighbors, and the hexagonal grid. We provide tight...
Moshe Schwartz, Tuvi Etzion
STOC
2012
ACM
272views Algorithms» more  STOC 2012»
13 years 8 months ago
The cell probe complexity of dynamic range counting
In this paper we develop a new technique for proving lower bounds on the update time and query time of dynamic data structures in the cell probe model. With this technique, we pro...
Kasper Green Larsen