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» The Linear Complexity of a Graph
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STOC
1990
ACM
96views Algorithms» more  STOC 1990»
14 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
CORR
2010
Springer
73views Education» more  CORR 2010»
13 years 9 months ago
On Touching Triangle Graphs
Abstract. In this paper, we consider the problem of representing graphs by triangles whose sides touch. We present linear time algorithms for creating touching triangles representa...
Emden R. Gansner, Yifan Hu, Stephen G. Kobourov
CPM
2006
Springer
145views Combinatorics» more  CPM 2006»
14 years 27 days ago
Approximation of RNA Multiple Structural Alignment
Abstract. In the context of non-coding RNA (ncRNA) multiple structural alignment, Davydov and Batzoglou introduced in [7] the problem of finding the largest nested linear graph tha...
Marcin Kubica, Romeo Rizzi, Stéphane Vialet...
UAI
2004
13 years 10 months ago
On-line Prediction with Kernels and the Complexity Approximation Principle
The paper describes an application of Aggregating Algorithm to the problem of regression. It generalizes earlier results concerned with plain linear regression to kernel technique...
Alexander Gammerman, Yuri Kalnishkan, Vladimir Vov...
IMA
2009
Springer
113views Cryptology» more  IMA 2009»
14 years 3 months ago
On Linear Cryptanalysis with Many Linear Approximations
Abstract. In this paper we present a theoretical framework to quantify the information brought by several linear approximations of a blockcipher without putting any restriction on ...
Benoît Gérard, Jean-Pierre Tillich