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» New Upper Bounds for Ramsey Numbers
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DAM
2007
70views more  DAM 2007»
13 years 7 months ago
Path-kipas Ramsey numbers
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
A. N. M. Salman, H. J. Broersma
COMBINATORICS
2004
102views more  COMBINATORICS 2004»
13 years 7 months ago
Satisfiability and Computing van der Waerden Numbers
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
ENDM
2007
96views more  ENDM 2007»
13 years 7 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
DM
2008
104views more  DM 2008»
13 years 8 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
CPAIOR
2010
Springer
14 years 20 days ago
Upper Bounds on the Number of Solutions of Binary Integer Programs
We present a new method to compute upper bounds of the number of solutions of binary integer programming (BIP) problems. Given a BIP, we create a dynamic programming (DP) table for...
Siddhartha Jain, Serdar Kadioglu, Meinolf Sellmann