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» Lower bounds on the obstacle number of graphs
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CORR
2010
Springer
168views Education» more  CORR 2010»
14 years 7 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
STOC
1997
ACM
76views Algorithms» more  STOC 1997»
15 years 2 months ago
Exploring Unknown Environments
We consider exploration problems where a robot has to construct a complete map of an unknown environment. We assume that the environment is modeled by a directed, strongly connecte...
Susanne Albers, Monika Rauch Henzinger
DM
2002
116views more  DM 2002»
14 years 9 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
CORR
2010
Springer
104views Education» more  CORR 2010»
14 years 10 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
14 years 10 months ago
Identifying Graph Automorphisms Using Determining Sets
A set of vertices S is a determining set for a graph G if every automorphism of G is uniquely determined by its action on S. The determining number of a graph is the size of a sma...
Debra L. Boutin