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» Unicyclic Components in Random Graphs
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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
CCCG
2009
13 years 6 months ago
Rigid Components of Random Graphs
We study the emergence of rigid components in an Erdos-R
Louis Theran
RSA
2000
112views more  RSA 2000»
13 years 5 months ago
Growth of components in random graphs
The creation and growth of components of a given complexity in a random graph process are studied. In particular, the expected number and total size of all such components is found...
Svante Janson
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 5 months ago
Component Evolution in General Random Intersection Graphs
Abstract. Random intersection graphs (RIGs) are an important random structure with algorithmic applications in social networks, epidemic networks, blog readership, and wireless sen...
Milan Bradonjic, Aric A. Hagberg, Nicolas W. Henga...
RSA
2008
118views more  RSA 2008»
13 years 4 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze