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» Unicyclic Components in Random Graphs
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CORR
2004
Springer
95views Education» more  CORR 2004»
13 years 4 months ago
Unicyclic Components in Random Graphs
E. Ben-Naim, Paul L. Krapivsky
EJC
2006
13 years 5 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 5 months ago
Component structure induced by a random walk on a random graph
We consider random walks on two classes of random graphs and explore the likely structure of the vacant set viz. the set of unvisited vertices. Let (t) be the subgraph induced by ...
Colin Cooper, Alan M. Frieze
CPC
2010
117views more  CPC 2010»
13 years 2 months ago
Diameters in Supercritical Random Graphs Via First Passage Percolation
We study the diameter of C1, the largest component of the Erdos-R
Jian Ding, Jeong Han Kim, Eyal Lubetzky, Yuval Per...
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