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» Small graph classes and bounded expansion
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CDC
2010
IEEE
122views Control Systems» more  CDC 2010»
14 years 4 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
WG
2000
Springer
15 years 1 months ago
Networks with Small Stretch Number
: In a previous work, the authors introduced the class of graphs with bounded induced distance of order k, (BID(k) for short) to model non-reliable interconnection networks. A netw...
Serafino Cicerone, Gabriele Di Stefano
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 4 hour ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
ICCV
2009
IEEE
16 years 2 months ago
Extending Continuous Cuts: Anisotropic Metrics and Expansion Moves
The concept of graph cuts is by now a standard method for all sorts of low level vision problems. Its popularity is largely due to the fact that globally or near globally optimal...
Carl Olsson, Martin Byr¨od, Niels Chr. Overgaard,...
ICALP
2011
Springer
14 years 1 months ago
Compact Navigation and Distance Oracles for Graphs with Small Treewidth
Given an unlabeled, unweighted, and undirected graph with n vertices and small (but not necessarily constant) treewidth k, we consider the problem of preprocessing the graph to bui...
Arash Farzan, Shahin Kamali