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» Path Separability of Graphs
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STOC
1990
ACM
95views Algorithms» more  STOC 1990»
14 years 20 days ago
Separators in Two and Three Dimensions
a 3-dimensions a separator size where is the ber of 3-simplexes in and is the number of ization of the separator results for planar graphs, such as the and Tarjan planar separator...
Gary L. Miller, William P. Thurston
CONCUR
2004
Springer
14 years 2 months ago
Model Checking Restricted Sets of Timed Paths
In this paper, we study the complexity of model-checking formulas of three important real-time logics (MTL, MITL, and TCTL) over restricted sets of timed paths. The classes of rest...
Nicolas Markey, Jean-François Raskin
ERSHOV
1999
Springer
14 years 27 days 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
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 8 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
MFCS
2009
Springer
14 years 3 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...