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» New Lower Bounds for Some Multicolored Ramsey Numbers
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DM
2007
89views more  DM 2007»
13 years 5 months ago
New upper bound formulas with parameters for Ramsey numbers
In this paper, we obtain some new results R(5, 12) 848, R(5, 14) 1461, etc., and we obtain new upper bound formulas for Ramsey numbers with parameters. © 2006 Published by Elsevi...
Yi Ru Huang, Yuandi Wang, Wancheng Sheng, Jian She...
EJC
2006
13 years 5 months ago
A note on Ramsey numbers with two parameters
1 The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices2 either G contains G1 or G contains G2, where G denotes the complement of G. In this...
Yi Ru Huang, Jian Sheng Yang, Kemin Zhang
ENDM
2007
96views more  ENDM 2007»
13 years 5 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
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 2 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
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...