AbstractWe show that in the evolution of the random d-uniform hypergraph Gd(n,M) the phase transition occurs when M=n/d(d−1)+O(n2/3). We also prove local limit theorems for the distribution of the size of the largest component of Gd(n,M) in the subcritical and in the early supercritical phase
We establish central and local limit theorems for the number of vertices in the largest component of...
AbstractDefine an ℓ-component to be a connected b-uniform hypergraph with k edges and k(b−1)−ℓ verti...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
AbstractWe show that in the evolution of the random d-uniform hypergraph Gd(n,M) the phase transitio...
Recently, we adapted random walk arguments based on work of Nachmias and Peres, Martin-Löf, Karp and...
Recently, we adapted random walk arguments based on work of Nachmias and Peres, Martin-Löf, Karp and...
We consider a model for random hypergraphs with identifiability, an analogue of connectedness. This ...
We consider a model for random hypergraphs with identifiability, an analogue of connectedness. This ...
Non-uniform hypergraphs appear in various domains of computer sci-ence as in the satisfiability prob...
Résumé étenduDenote by an $\ell$-component a connected $b$-uniform hypergraph with $k$ edges and $k(...
Recently, in [Random Struct Algorithm 41 (2012), 441–450] we adapted exploration and martingale argu...
AbstractDefine an ℓ-component to be a connected b-uniform hypergraph with k edges and k(b−1)−ℓ verti...
AbstractThe random graphs G(n, Pr(edge)=p), G(n, #edges=M) at the critical range p=(1+λn−1/3)/n and ...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
We establish central and local limit theorems for the number of vertices in the largest component of...
AbstractDefine an ℓ-component to be a connected b-uniform hypergraph with k edges and k(b−1)−ℓ verti...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
AbstractWe show that in the evolution of the random d-uniform hypergraph Gd(n,M) the phase transitio...
Recently, we adapted random walk arguments based on work of Nachmias and Peres, Martin-Löf, Karp and...
Recently, we adapted random walk arguments based on work of Nachmias and Peres, Martin-Löf, Karp and...
We consider a model for random hypergraphs with identifiability, an analogue of connectedness. This ...
We consider a model for random hypergraphs with identifiability, an analogue of connectedness. This ...
Non-uniform hypergraphs appear in various domains of computer sci-ence as in the satisfiability prob...
Résumé étenduDenote by an $\ell$-component a connected $b$-uniform hypergraph with $k$ edges and $k(...
Recently, in [Random Struct Algorithm 41 (2012), 441–450] we adapted exploration and martingale argu...
AbstractDefine an ℓ-component to be a connected b-uniform hypergraph with k edges and k(b−1)−ℓ verti...
AbstractThe random graphs G(n, Pr(edge)=p), G(n, #edges=M) at the critical range p=(1+λn−1/3)/n and ...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
We establish central and local limit theorems for the number of vertices in the largest component of...
AbstractDefine an ℓ-component to be a connected b-uniform hypergraph with k edges and k(b−1)−ℓ verti...
Let H m(n) be a random graph on n vertices, grown by adding vertices one at a time, joining each new...
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