Sciweavers

7796 search results - page 2 / 1560
» On Generalized Schur Numbers
Sort
View
ENDM
2007
96views more  ENDM 2007»
13 years 4 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
IPPS
1998
IEEE
13 years 9 months ago
High Performance Linear Algebra Package LAPACK90
Abstract. LAPACK90 is a set of LAPACK90 subroutines which interfaces FORTRAN90 with LAPACK. All LAPACK driver subroutines including expert drivers and some LAPACK computationals ha...
Jack Dongarra, Jerzy Wasniewski
JCO
2006
96views more  JCO 2006»
13 years 4 months ago
One-dimensional optimal bounded-shape partitions for Schur convex sum objective functions
Consider the problem of partitioning n nonnegative numbers into p parts, where part i can be assigned ni numbers with ni lying in a given range. The goal is to maximize a Schur con...
F. H. Chang, H. B. Chen, J. Y. Guo, Frank K. Hwang...
JCT
2006
129views more  JCT 2006»
13 years 4 months ago
A combinatorial proof of the Rogers-Ramanujan and Schur identities
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direc...
Cilanne Boulet, Igor Pak
AMC
2011
12 years 12 months ago
Variational theory and domain decomposition for nonlocal problems
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establi...
Burak Aksoylu, Michael L. Parks