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» On planar intersection graphs with forbidden subgraphs
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COCOON
2006
Springer
13 years 8 months ago
Characterizations and Linear Time Recognition of Helly Circular-Arc Graphs
Abstract. A circular-arc model (C, A) is a circle C together with a collection A of arcs of C. If A satisfies the Helly Property then (C, A) is a Helly circular-arc model. A (Helly...
Min Chih Lin, Jayme Luiz Szwarcfiter
DIMACS
1996
13 years 6 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
WG
2007
Springer
13 years 11 months ago
Proper Helly Circular-Arc Graphs
A circular-arc model M = (C, A) is a circle C together with a collection A of arcs of C. If no arc is contained in any other then M is a proper circular-arc model, if every arc has...
Min Chih Lin, Francisco J. Soulignac, Jayme Luiz S...
EJC
2010
13 years 5 months ago
Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
Julia Böttcher, Klaas P. Pruessmann, Anusch T...
GD
2008
Springer
13 years 6 months ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...