Abstract. In this paper we present the set of base algorithms for generating connected random graphs (RG). RG can be used for testing different algorithms on networks. The fast al...
We study vertex-colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If G is a 3-connected plane graph with n vert...
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
We define the decision problem data arrangement, which involves arranging the vertices of a graph G at the leaves of a d-ary tree so that a weighted sum of the distances between p...