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APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
15 years 4 months ago
Derandomized Squaring of Graphs
We introduce a “derandomized” analogue of graph squaring. This operation increases the connectivity of the graph (as measured by the second eigenvalue) almost as well as squar...
Eyal Rozenman, Salil P. Vadhan
FAW
2010
Springer
217views Algorithms» more  FAW 2010»
14 years 9 months ago
Path Separability of Graphs
In this paper we investigate the structural properties of k-path separable graphs, that are the graphs that can be separated by a set of k shortest paths. We identify several grap...
Emilie Diot, Cyril Gavoille
ISAAC
2010
Springer
266views Algorithms» more  ISAAC 2010»
14 years 9 months ago
Structural and Complexity Aspects of Line Systems of Graphs
We study line systems in metric spaces induced by graphs. A line is a subset of vertices defined by a relation of betweeness. We show that the class of all graphs having exactly k ...
Jozef Jirásek, Pavel Klavík
SRDS
2005
IEEE
15 years 4 months ago
Distributed Construction of a Fault-Tolerant Network from a Tree
We present an algorithm by which nodes arranged in a tree, with each node initially knowing only its parent and children, can construct a fault-tolerant communication structure (a...
Michael K. Reiter, Asad Samar, Chenxi Wang
COCOA
2007
Springer
15 years 5 months ago
On Threshold BDDs and the Optimal Variable Ordering Problem
Abstract. Many combinatorial optimization problems can be formulated as 0/1 integer programs (0/1 IPs). The investigation of the structure of these problems raises the following ta...
Markus Behle