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CATA
2004
13 years 8 months ago
Optimal Trees for the Parametric Fixed Charge Shortest Paths Problem
We investigate a variant of the Fixed Charge Shortest Paths problem which enumerates the sequence of optimal solutions that arise as the focus shifts from the fixed cost parameter...
Fred J. Rispoli, Steven Cosares
ISSAC
2007
Springer
91views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Generation and optimisation of code using coxeter lattice paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations of opera...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
DAGSTUHL
2006
13 years 8 months ago
Coxeter Lattice Paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations their com...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
COMGEO
2006
ACM
13 years 7 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
DM
2008
113views more  DM 2008»
13 years 7 months ago
Multivariate Fuss-Catalan numbers
Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Jean-Christophe Aval