We study the component structure in random intersection graphs with tunable clustering, and show that the average degree works as a threshold for a phase transition for the size of the largest component. That is, if the expected degree is less than one, the size of the largest component is a.a.s. of logarithmic order, but if the average degree is greater than one, a.a.s. a single large component of linear order emerges, and the size of the second largest component is at most of logarithmic order
In 2007 we introduced a general model of sparse random graphs with independence between the edges. T...
A random intersection graph mtlmcalG_V,W,p is induced from a random bipartite graph mtlmcalG^*_V,W,p...
Let P (n,M) be a graph chosen uniformly at random from the family of all labeled planar graphs with ...
We study the component structure in random intersection graphs with tunable clustering, and show tha...
In this paper, we study the largest component of the near-critical random intersection graph Gn,m,p ...
A random intersection graph is constructed by assigning independently to each vertex a subset of a g...
A random intersection graph is constructed by independently assigning each vertex a subset of a give...
In this paper, through the coupling and martingale method, we prove the order of the largest compone...
AbstractWe study properties of the uniform random intersection graph model G(n,m,d). We find asympto...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
In this paper we study the component structure of random graphs with independence between the edges....
In this paper we study the component structure of random graphs with independence between the edges....
In 2007 we introduced a general model of sparse random graphs with independence between the edges. T...
A random intersection graph mtlmcalG_V,W,p is induced from a random bipartite graph mtlmcalG^*_V,W,p...
Let P (n,M) be a graph chosen uniformly at random from the family of all labeled planar graphs with ...
We study the component structure in random intersection graphs with tunable clustering, and show tha...
In this paper, we study the largest component of the near-critical random intersection graph Gn,m,p ...
A random intersection graph is constructed by assigning independently to each vertex a subset of a g...
A random intersection graph is constructed by independently assigning each vertex a subset of a give...
In this paper, through the coupling and martingale method, we prove the order of the largest compone...
AbstractWe study properties of the uniform random intersection graph model G(n,m,d). We find asympto...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
The “random intersection graph with communities” (RIGC) models networks with communities, assuming a...
In this paper we study the component structure of random graphs with independence between the edges....
In this paper we study the component structure of random graphs with independence between the edges....
In 2007 we introduced a general model of sparse random graphs with independence between the edges. T...
A random intersection graph mtlmcalG_V,W,p is induced from a random bipartite graph mtlmcalG^*_V,W,p...
Let P (n,M) be a graph chosen uniformly at random from the family of all labeled planar graphs with ...