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EJC
2010
13 years 6 months ago
A q-enumeration of alternating permutations
A classical result of Euler states that the tangent numbers are an alternating sum of Eulerian numbers. A dual result of Roselle states that the secant numbers can be obtained by a...
Matthieu Josuat-Vergès
GD
2003
Springer
13 years 12 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov
GD
2005
Springer
14 years 5 days ago
Non-planar Core Reduction of Graphs
We present a reduction method that reduces a graph to a smaller core graph which behaves invariant with respect to planarity measures like crossing number, skewness, and thickness....
Carsten Gutwenger, Markus Chimani
JGAA
1998
116views more  JGAA 1998»
13 years 6 months ago
New Lower Bounds For Orthogonal Drawings
An orthogonal drawing of a graph is an embedding of the graph in the two-dimensional grid such that edges are routed along grid-lines. In this paper we explore lower bounds for or...
Therese C. Biedl
JGAA
2010
128views more  JGAA 2010»
13 years 5 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...