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» Lower bounds on the obstacle number of graphs
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SIAMDM
2008
79views more  SIAMDM 2008»
13 years 7 months ago
Testing Triangle-Freeness in General Graphs
In this paper we consider the problem of testing whether a graph is triangle-free, and more generally, whether it is H-free, for a fixed subgraph H. The algorithm should accept gr...
Noga Alon, Tali Kaufman, Michael Krivelevich, Dana...
DM
1999
101views more  DM 1999»
13 years 7 months ago
Characterizations of bipartite Steinhaus graphs
We characterize bipartite Steinhaus graphs in three ways by partitioning them into four classes and we describe the color sets for each of these classes. An interesting recursion ...
Gerard J. Chang, Bhaskar DasGupta, Wayne M. Dym&ag...
RANDOM
2001
Springer
14 years 8 days ago
Near-optimum Universal Graphs for Graphs with Bounded Degrees
d Abstract) Noga Alon1, , Michael Capalbo2, , Yoshiharu Kohayakawa3, , Vojtˇech R¨odl4,† , Andrzej Ruci´nski5,‡ , and Endre Szemer´edi6,§ 1 Department of Mathematics, Raym...
Noga Alon, Michael R. Capalbo, Yoshiharu Kohayakaw...
AAAI
2008
13 years 10 months ago
Limits and Possibilities of BDDs in State Space Search
This paper investigates the impact of symbolic search for solving domain-independent action planning problems with binary decision diagrams (BDDs). Polynomial upper and exponential...
Stefan Edelkamp, Peter Kissmann
CORR
2010
Springer
72views Education» more  CORR 2010»
13 years 5 months ago
Exploring Simple Triangular and Hexagonal Grid Polygons Online
We examine online grid covering with hexagonal and triangular grids. For arbitrary environments without obstacles we provide a strategy that produces tours of length S C + 1 4 E ...
Daniel Herrmann, Tom Kamphans, Elmar Langetepe