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COMBINATORICS
2002
87views more  COMBINATORICS 2002»
13 years 9 months ago
Map Genus, Forbidden Maps, and Monadic Second-Order Logic
A map is a graph equipped with a circular order of edges around each vertex. These circular orders represent local planar embeddings. The genus of a map is the minimal genus of an...
Bruno Courcelle, V. Dussaux
DIMACS
1996
13 years 11 months ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 11 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
GD
2008
Springer
13 years 11 months ago
Visibility Representations of Four-Connected Plane Graphs with Near Optimal Heights
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
Chieh-Yu Chen, Ya-Fei Hung, Hsueh-I Lu
GD
2009
Springer
14 years 2 months ago
Geometric Simultaneous Embeddings of a Graph and a Matching
The geometric simultaneous embedding problem asks whether two planar graphs on the same set of vertices in the plane can be drawn using straight lines, such that each graph is pla...
Sergio Cabello, Marc J. van Kreveld, Giuseppe Liot...