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» Coloring powers of planar graphs
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JACM
2002
93views more  JACM 2002»
13 years 7 months ago
Map graphs
We consider a modified notion of planarity, in which two nations of a map are considered adjacent when they share any point of their boundaries (not necessarily an edge, as planar...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...
ISAAC
2005
Springer
123views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Sampling Unlabeled Biconnected Planar Graphs
We present an expected polynomial time algorithm to generate a 2-connected unlabeled planar graph uniformly at random. To do this we first derive recurrence formulas to count the ...
Manuel Bodirsky, Clemens Gröpl, Mihyun Kang
DAM
2010
132views more  DAM 2010»
13 years 7 months ago
Homomorphisms of 2-edge-colored graphs
In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2...
Amanda Montejano, Pascal Ochem, Alexandre Pinlou, ...
COMGEO
2008
ACM
13 years 7 months ago
Encompassing colored planar straight line graphs
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
Ferran Hurtado, Mikio Kano, David Rappaport, Csaba...
GC
2006
Springer
13 years 7 months ago
Coloring Vertices and Faces of Locally Planar Graphs
Michael O. Albertson, Bojan Mohar