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» Unicyclic Components in Random Graphs
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IM
2008
13 years 7 months ago
The Structure of Geographical Threshold Graphs
We analyze the structure of random graphs generated by the geographical threshold model. The model is a generalization of random geometric graphs. Nodes are distributed in space, a...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 1 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...
RSA
2008
94views more  RSA 2008»
13 years 7 months ago
Random mappings with exchangeable in-degrees
In this paper we introduce a new random mapping model, T ^D n , which maps the set {1, 2, ..., n} into itself. The random mapping T ^D n is constructed using a collection of excha...
Jennie C. Hansen, Jerzy Jaworski
MONET
2006
157views more  MONET 2006»
13 years 7 months ago
Connectivity in Wireless Ad-hoc Networks with a Log-normal Radio Model
In this paper we study connectivity in wireless ad-hoc networks by modeling the network as an undirected geometric random graph. The novel aspect in our study is that for finding t...
Ramin Hekmat, Piet Van Mieghem
TMC
2011
131views more  TMC 2011»
13 years 2 months ago
In-Network Computation in Random Wireless Networks: A PAC Approach to Constant Refresh Rates with Lower Energy Costs
—We propose a method to compute a probably approximately correct (PAC) normalized histogram of observations with a refresh rate of Âð1Þ time units per histogram sample on a ra...
Srikanth K. Iyer, D. Manjunath, R. Sundaresan