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» Enumerating Triangulation Paths
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JCT
2007
90views more  JCT 2007»
13 years 7 months ago
Elliptic enumeration of nonintersecting lattice paths
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a specific elliptic weight function. ...
Michael Schlosser
SIROCCO
2001
13 years 8 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
EJC
2008
13 years 7 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
CAIP
2007
Springer
132views Image Analysis» more  CAIP 2007»
14 years 1 months ago
Decomposing a Simple Polygon into Trapezoids
Chazelle’s triangulation [1] forms today the common basis for linear-time Euclidean shortest path (ESP) calculations (where start and end point are given within a simple polygon)...
Fajie Li, Reinhard Klette
COMPGEOM
1999
ACM
13 years 11 months ago
The Path of a Triangulation
We define the path of a pseudo-triangulation, a data structure generalizing the path of a triangulation of a point set. This structure allows us to use divide-andconquer type of ...
Oswin Aichholzer