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» Lower bounds on the obstacle number of graphs
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STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 8 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...
WINE
2009
Springer
178views Economy» more  WINE 2009»
14 years 2 months ago
The Geometry of Truthfulness
We study the geometrical shape of the partitions of the input space created by the allocation rule of a truthful mechanism for multi-unit auctions with multidimensional types and ...
Angelina Vidali
ISAAC
2005
Springer
110views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Minimum Entropy Coloring
Abstract We study an information-theoretic variant of the graph coloring problem in which the objective function to minimize is the entropy of the coloring. The minimum entropy of ...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
COCOON
1999
Springer
14 years 4 days ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
WDAG
2010
Springer
183views Algorithms» more  WDAG 2010»
13 years 6 months ago
What Is the Use of Collision Detection (in Wireless Networks)?
We show that the asymptotic gain in the time complexity when using collision detection depends heavily on the task by investigating three prominent problems for wireless networks,...
Johannes Schneider, Roger Wattenhofer