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» On the topological lower bound for the multichromatic number
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57
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DM
2010
75views more  DM 2010»
14 years 11 months ago
On the topological lower bound for the multichromatic number
Péter Csorba, József Osztényi
67
Voted
CORR
2006
Springer
105views Education» more  CORR 2006»
15 years 18 days 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
99
Voted
DCG
2008
88views more  DCG 2008»
15 years 20 days 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
98
Voted
JCT
2007
90views more  JCT 2007»
15 years 14 days 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
98
Voted
STOC
1992
ACM
110views Algorithms» more  STOC 1992»
15 years 4 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...