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STOC
1998
ACM
129views Algorithms» more  STOC 1998»
13 years 11 months ago
Planar Map Graphs
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...
COMBINATORICS
2004
84views more  COMBINATORICS 2004»
13 years 7 months ago
Planar Maps as Labeled Mobiles
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...
J. Bouttier, P. Di Francesco, E. Guitter
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 months ago
Nodally 3-connected planar graphs and convex combination mappings
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...
Colm Ó'Dúnlaing
ICALP
2003
Springer
14 years 21 days ago
Fixed-Parameter Algorithms for the (k, r)-Center in Planar Graphs and Map Graphs
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...
GIS
2003
ACM
14 years 21 days ago
Construction of the planar partition postal code map based on cadastral reGIStration
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 ...