We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the mo...
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip...
This paper presents a new framework for drawing graphs in three dimensions. In general, the new framework uses a divide and conquer approach. More specifically, the framework divi...
We present a general method for evaluating and visualizing evolutionary dynamics of self-replicators using a graph-based representation for genealogy. Through a transformation from...
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...