We consider the robot exploration of a planar graphlike world. The robot's goal is to build a complete map of its environment. The environment is modeled as an arbitrary undi...
Ioannis M. Rekleitis, Vida Dujmovic, Gregory Dudek
We show that the number of vertices of a given degree k in several kinds of series-parallel labelled graphs of size n satisfy a central limit theorem with mean and variance proport...
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
Graph Isomorphism is the prime example of a computational problem with a wide difference between the best known lower and upper bounds on its complexity. There is a significant ...
Suppose we are given a graph G together with two proper vertex k-colourings of G, α and β. How easily can we decide whether it is possible to transform α into β by recolouring...