We introduce and study a modi ed notion of planarity, in which two regions of a map are considered adjacent when they share any point of their boundaries not an edge, as standard...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
We extend Schaeffer's bijection between rooted quadrangulations and welllabeled trees to the general case of Eulerian planar maps with prescribed face valences to obtain a bi...
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...
The (k, r)-center problem asks whether an input graph G has ≤ k vertices (called centers) such that every vertex of G is within distance ≤ r from some center. In this paper we ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
Accurate postal code maps have many applications within GIS as the postal code has the potential to link the address description of buildings to their location in a specified glob...
Friso Penninga, Edward Verbree, Wilko Quak, Peter ...