A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
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...
By a regular embedding of a graph K into a surface we mean a 2-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular...
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...