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COMPGEOM
2005
ACM
15 years 1 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
90
Voted
ERSHOV
1999
Springer
15 years 3 months ago
Multi-agent Optimal Path Planning for Mobile Robots in Environment with Obstacles
Abstract. The paper describes a problem of multi-agent path planning in environment with obstacles. Novel approach to multi-agent optimal path planning, using graph representation ...
Fedor A. Kolushev, Alexander A. Bogdanov
110
Voted
ALGORITHMICA
2011
14 years 6 months ago
Crossing Number 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 diffe...
Sergio Cabello, Bojan Mohar
97
Voted
DCG
2008
93views more  DCG 2008»
14 years 11 months ago
Odd Crossing Number and Crossing Number Are Not the Same
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
86
Voted
TPDS
1998
110views more  TPDS 1998»
14 years 11 months ago
On Exploiting Task Duplication in Parallel Program Scheduling
—One of the main obstacles in obtaining high performance from message-passing multicomputer systems is the inevitable communication overhead which is incurred when tasks executin...
Ishfaq Ahmad, Yu-Kwong Kwok