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EM
2010
121views Management» more  EM 2010»
13 years 4 months ago
Self-Intersection Numbers of Curves on the Punctured Torus
On the punctured torus the number of essential self-intersections of a homotopy class of closed curves is bounded (sharply) by a quadratic function of its combinatorial length (th...
Moira Chas, Anthony Phillips
APVIS
2006
13 years 6 months ago
Method for drawing intersecting clustered graphs and its application to web ontology language
We introduce a class of graphs called an intersecting clustered graph that is a clustered graph with intersections among clusters. We propose a novel method for nicely drawing the...
Hiroki Omote, Kozo Sugiyama
JGAA
2010
128views more  JGAA 2010»
13 years 3 months ago
Intersection Graphs of Pseudosegments: Chordal Graphs
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
Cornelia Dangelmayr, Stefan Felsner, William T. Tr...
GD
2009
Springer
13 years 8 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer
COMBINATORICS
2002
70views more  COMBINATORICS 2002»
13 years 4 months ago
Set-Systems with Restricted Multiple Intersections
We give a generalization for the Deza-Frankl-Singhi Theorem in case of multiple intersections. More exactly, we prove, that if H is a set-system, which satisfies that for some k, ...
Vince Grolmusz