We show the existence of various versions of expander graphs using Kolmogorov complexity. This method seems superior to the usual probabilistic construction. It turns out that the...
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...
We analyze various stochastic processes for generating permutations almost uniformly at random in distributed and parallel systems. All our protocols are simple, elegant and are b...
A succinct series expression is derived for describing the limit distribution of the number of times r consecutive elements are all records (in a sequence of independent and ident...
The choice number ch(G) of a graph G = (V, E) is the minimum number k such that for every assignment of a list S(v) of at least k colors to each vertex v V , there is a proper ve...