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LATIN
2004
Springer
13 years 10 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
13 years 11 months 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 4 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»
13 years 11 months 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»
13 years 11 months 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