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» Upper and lower Ramsey bounds in bounded arithmetic
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COMBINATORICS
1998
66views more  COMBINATORICS 1998»
13 years 6 months ago
Some New Ramsey Colorings
New lower bounds for 15 classical Ramsey numbers are established. Several of the colorings are found using a new variation of local search heuristics. Several others are found usi...
Geoffrey Exoo
GC
2011
Springer
13 years 1 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
STACS
2009
Springer
14 years 1 months ago
A Stronger LP Bound for Formula Size Lower Bounds via Clique Constraints
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
Kenya Ueno
EUROCRYPT
2001
Springer
13 years 11 months ago
New Method for Upper Bounding the Maximum Average Linear Hull Probability for SPNs
Abstract. We present a new algorithm for upper bounding the maximum average linear hull probability for SPNs, a value required to determine provable security against linear cryptan...
Liam Keliher, Henk Meijer, Stafford E. Tavares
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 8 months ago
Lower Bounds and Separations for Constant Depth Multilinear Circuits
We prove an exponential lower bound for the size of constant depth multilinear arithmetic circuits computing either the determinant or the permanent (a circuit is called multiline...
Ran Raz, Amir Yehudayoff