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» On the topological lower bound for the multichromatic number
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DM
2010
75views more  DM 2010»
13 years 3 months ago
On the topological lower bound for the multichromatic number
Péter Csorba, József Osztényi
CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 4 months ago
Cohomology in Grothendieck Topologies and Lower Bounds in Boolean Complexity II: A Simple Example
In a previous paper we have suggested a number of ideas to attack circuit size complexity with cohomology. As a simple example, we take circuits that can only compute the AND of t...
Joel Friedman
DCG
2008
88views more  DCG 2008»
13 years 4 months ago
On the Number of Birch Partitions
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This imp...
Stephan Hell
JCT
2007
90views more  JCT 2007»
13 years 4 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
13 years 8 months ago
Linear Decision Trees: Volume Estimates and Topological Bounds
Abstract. We describe two methods for estimating the size and depth of decision trees where a linear test is performed at each node. Both methods are applied to the question of dec...
Anders Björner, László Lov&aacu...