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LATIN
2004
Springer
13 years 11 months ago
Embracing the Giant Component
Consider a game in which edges of a graph are provided a pair at a time, and the player selects one edge from each pair, attempting to construct a graph with a component as large ...
Abraham Flaxman, David Gamarnik, Gregory B. Sorkin
INFOCOM
2009
IEEE
14 years 25 days ago
On the Properties of Giant Component in Wireless Multi-Hop Networks
—In this paper, we study the giant component, the largest component containing a non-vanishing fraction of nodes, in wireless multi-hop networks in d (d = 1, 2). We assume that n...
Xiaoyuan Ta, Guoqiang Mao, Brian D. O. Anderson
CPC
1998
123views more  CPC 1998»
13 years 5 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
WAW
2009
Springer
150views Algorithms» more  WAW 2009»
14 years 24 days ago
The Giant Component in a Random Subgraph of a Given Graph
We consider a random subgraph Gp of a host graph G formed by retaining each edge of G with probability p. We address the question of determining the critical value p (as a function...
Fan Chung Graham, Paul Horn, Linyuan Lu
WAW
2007
Springer
120views Algorithms» more  WAW 2007»
14 years 9 days ago
Giant Component and Connectivity in Geographical Threshold Graphs
The geographical threshold graph model is a random graph model with nodes distributed in a Euclidean space and edges assigned through a function of distance and node weights. We st...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus