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» Combinatorics of Monotone Computations
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DCC
2005
IEEE
14 years 7 months ago
The Combinatorics of Dom de Caen
We give an overview of some of the mathematical results of Dominique de Caen. These include a short proof of K?onig's theorem, results on Tur?an numbers, biclique partitions,...
Edwin R. van Dam
STOC
1990
ACM
96views Algorithms» more  STOC 1990»
13 years 11 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson
4OR
2006
100views more  4OR 2006»
13 years 7 months ago
Nondecomposable solutions to group equations and an application to polyhedral combinatorics
This paper is based on the study of the set of nondecomposable integer solutions in a Gomory corner polyhedron, which was recently used in a reformulation method for integer linear...
Matthias Jach, Matthias Köppe, Robert Weisman...
COCOON
2009
Springer
14 years 2 months ago
On the Readability of Monotone Boolean Formulae
Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
TCS
2010
13 years 2 months ago
Combinatorics of labelling in higher-dimensional automata
The main idea for interpreting concurrent processes as labelled precubical sets is that a given set of n actions running concurrently must be assembled to a labelled ncube, in exac...
Philippe Gaucher