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» Combinatorics of Monotone Computations
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DCC
2005
IEEE
15 years 9 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
74
Voted
STOC
1990
ACM
96views Algorithms» more  STOC 1990»
15 years 1 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»
14 years 9 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...
100
Voted
COCOON
2009
Springer
15 years 4 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
14 years 4 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