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...
Counting labelled planar graphs, and typical properties of random labelled planar graphs, have received much attention recently. We start the process here of extending these invest...
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
Denote by an -component a connected b-uniform hypergraph with k edges and k(b - 1) - vertices. We prove that the expected number of creations of -component during a random hypergr...
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...