We provide new combinatorial theorems on the structure of graphs that are contained as contractions in graphs of large treewidth. As a consequence of our combinatorial results we u...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
We study the PageRank mass of principal components in a bow-tie Web Graph, as a function of the damping factor c. Using a singular perturbation approach, we show that the PageRank ...
Konstantin Avrachenkov, Nelly Litvak, Kim Son Pham
Abstract: The article presents a model of the structural properties of virtual communities and the information they can access. It argues that a large part of the information – a...
Let T be a fixed tournament on k vertices. Let D(n, T) denote the maximum number of orientations of an n-vertex graph that have no copy of T. We prove that D(n, T) = 2tk-1(n) for ...
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...