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COMBINATORICS
2006
135views more  COMBINATORICS 2006»
13 years 7 months ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
13 years 7 months ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter
FSE
2007
Springer
105views Cryptology» more  FSE 2007»
14 years 1 months ago
New Bounds for PMAC, TMAC, and XCBC
We provide new security proofs for PMAC, TMAC, and XCBC message authentication modes. The previous security bounds for these modes were σ2 /2n , where n is the block size in bits ...
Kazuhiko Minematsu, Toshiyasu Matsushima
WALCOM
2010
IEEE
206views Algorithms» more  WALCOM 2010»
14 years 2 months ago
Crossings between Curves with Many Tangencies
Let A and B be two families of two-way infinite x-monotone curves, no three of which pass through the same point. Assume that every curve in A lies above every curve in B and that...
Jacob Fox, Fabrizio Frati, János Pach, Rom ...
CORR
2008
Springer
124views Education» more  CORR 2008»
13 years 7 months ago
A New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach
In MaxSat, we ask for an assignment which satisfies the maximum number of clauses for a boolean formula in CNF. We present an algorithm yielding a run time upper bound of O (2 K 6....
Daniel Raible, Henning Fernau