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FMSD
2007
97views more  FMSD 2007»
13 years 8 months ago
On the optimal reachability problem of weighted timed automata
We study the cost-optimal reachability problem for weighted timed automata such that positive and negative costs are allowed on edges and locations. By optimality, we mean an infi...
Patricia Bouyer, Thomas Brihaye, Véronique ...
GD
2008
Springer
13 years 10 months ago
Crossing and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
Sergio Cabello, Bojan Mohar
AICCSA
2005
IEEE
103views Hardware» more  AICCSA 2005»
14 years 2 months ago
Consistent graph layout for weighted graphs
In this paper we present three algorithms that build graph layouts for undirected, weighted graphs. Our goal is to generate layouts that are consistent with the weights in the gra...
Dana Vrajitoru, Jason DeBoni
COMGEO
2004
ACM
13 years 8 months ago
The weighted farthest color Voronoi diagram on trees and graphs
Let n point sites be situated on the vertices or edges of a geometric graph G over e edges. Each site can be assigned a multiplicative weight and a color. We discuss the complexit...
Ferran Hurtado, Rolf Klein, Elmar Langetepe, Vera ...
SODA
1998
ACM
128views Algorithms» more  SODA 1998»
13 years 10 months ago
A Polynomial-Time Approximation Scheme for Weighted Planar Graph TSP
Given a planar graph on n nodes with costs weights on its edges, de ne the distance between nodes i and j as the length of the shortest path between i and j. Consider this as an i...
Sanjeev Arora, Michelangelo Grigni, David R. Karge...