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» The Complexity of Graph Connectivity
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PODC
2009
ACM
14 years 10 months ago
A distributed polylogarithmic time algorithm for self-stabilizing skip graphs
Peer-to-peer systems rely on scalable overlay networks that enable efficient routing between its members. Hypercubic topologies facilitate such operations while each node only nee...
Riko Jacob, Andréa W. Richa, Christian Sche...
AAAI
2007
14 years 12 days ago
Allocating Goods on a Graph to Eliminate Envy
We introduce a distributed negotiation framework for multiagent resource allocation where interactions between agents are limited by a graph defining a negotiation topology. A gr...
Yann Chevaleyre, Ulrich Endriss, Nicolas Maudet
CORR
2004
Springer
75views Education» more  CORR 2004»
13 years 10 months ago
Locally connected spanning trees on graphs
A locally connected spanning tree of a graph G is a spanning tree T of G such that the set of all neighbors of v in T induces a connected subgraph of G for every v V (G). The pur...
Ching-Chi Lin, Gerard J. Chang, Gen-Huey Chen
COMPGEOM
2011
ACM
13 years 1 months ago
Reeb graphs: approximation and persistence
Given a continuous function f : X → IR on a topological space X, its level set f−1 (a) changes continuously as the real value a changes. Consequently, the connected components...
Tamal K. Dey, Yusu Wang
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 3 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...