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...
We introduce the notion of Lombardi graph drawings, named after the abstract artist Mark Lombardi. In these drawings, edges are represented as circular arcs rather than as line seg...
Christian A. Duncan, David Eppstein, Michael T. Go...
The small subgraph conditioning method first appeared when Robinson and the second author showed the almost sure hamiltonicity of random d-regular graphs. Since then it has been u...
In the last decade several algorithms that generate straight-line drawings of general large graphs have been invented. In this paper we investigate some of these methods that are ...
We consider a probabilistic model for the Steiner Tree problem. Under this model the problem is defined in a 2-stage setting over a first-stage complete weighted graph having it...