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» Critical Subgraphs of a Random Graph
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DM
2002
86views more  DM 2002»
13 years 9 months ago
A chip-firing game and Dirichlet eigenvalues
We consider a variation of the chip-firing game in a induced subgraph S of a graph G. Starting from a given chip configuration, if a vertex v has at least as many chips as its deg...
Fan R. K. Chung, Robert B. Ellis
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
14 years 7 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
GD
2004
Springer
14 years 3 months ago
Drawing Power Law Graphs
It has been noted that many realistic graphs have a power law degree distribution and exhibit the small world phenomenon. We present drawing methods influenced by recent developm...
Reid Andersen, Fan R. K. Chung, Lincoln Lu
MSWIM
2005
ACM
14 years 3 months ago
Topology control with better radio models: implications for energy and multi-hop interference
Topology Control (TC) is a well-studied technique used in wireless ad hoc networks to find energy-efficient and/or low-interference subgraphs of the maxpower communication graph....
Douglas M. Blough, Mauro Leoncini, Giovanni Resta,...
ICALP
2010
Springer
13 years 11 months ago
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independe...
Shiri Chechik, Yuval Emek, Boaz Patt-Shamir, David...