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APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
14 years 14 days ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
CDC
2010
IEEE
122views Control Systems» more  CDC 2010»
13 years 3 months ago
A lower bound for distributed averaging algorithms on the line graph
We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose ...
Alexander Olshevsky, John N. Tsitsiklis
PODS
2008
ACM
129views Database» more  PODS 2008»
14 years 8 months ago
Tree-width and functional dependencies in databases
Conjunctive query (CQ) evaluation on relational databases is NP-complete in general. Several restrictions, like bounded tree-width and bounded hypertree-width, allow polynomial ti...
Isolde Adler
COMGEO
2011
ACM
13 years 3 months ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
CAS
2008
118views more  CAS 2008»
13 years 8 months ago
A Novel Method for Measuring the Structural Information Content of Networks
In this paper we first present a novel approach to determine the structural information content (graph entropy) of a network represented by an undirected and connected graph. Such...
Matthias Dehmer