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» New Upper Bounds for Ramsey Numbers
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APVIS
2008
13 years 9 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...
CRYPTO
2006
Springer
92views Cryptology» more  CRYPTO 2006»
13 years 11 months ago
Rigorous Bounds on Cryptanalytic Time/Memory Tradeoffs
In this paper we formalize a general model of cryptanalytic time/memory tradeoffs for the inversion of a random function f : {0, 1, . . . , N - 1} {0, 1, . . . , N - 1}. The model...
Elad Barkan, Eli Biham, Adi Shamir
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 11 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
MFCS
2009
Springer
14 years 2 months ago
Bounds on Non-surjective Cellular Automata
Abstract. Cellular automata (CA) are discrete, homogeneous dynamical systems. Non-surjective one-dimensional CA have nite words with no preimage (called orphans), pairs of dieren...
Jarkko Kari, Pascal Vanier, Thomas Zeume