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» New Lower Bounds for Heilbronn Numbers
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CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 4 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
CP
2001
Springer
13 years 9 months ago
New Lower Bounds of Constraint Violations for Over-Constrained Problems
In recent years, many works have been carried out to solve over-constrained problems, and more speci cally the Maximal Constraint Satisfaction Problem (Max-CSP), where the goal is ...
Jean-Charles Régin, Thierry Petit, Christia...
CRYPTO
2005
Springer
116views Cryptology» more  CRYPTO 2005»
13 years 10 months ago
New Monotones and Lower Bounds in Unconditional Two-Party Computation
Since bit and string oblivious transfer and commitment, two primitives of paramount importance in secure two- and multi-party computation, cannot be realized in an unconditionally ...
Stefan Wolf, Jürg Wullschleger
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 4 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
DM
2008
104views more  DM 2008»
13 years 4 months ago
Improved upper and lower bounds on the feedback vertex numbers of grids and butterflies
We improve upon the best known upper and lower bounds on the sizes of minimal feedback vertex sets in butterflies. Also, we construct new feedback vertex sets in grids so that for...
Florent R. Madelaine, Iain A. Stewart