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EJC
2008
15 years 6 months ago
Partitions and Clifford algebras
Given the set [n] = {1, . . . , n} for positive integer n, combinatorial properties of Clifford algebras are exploited to count partitions and nonoverlapping partitions of [n]. Th...
René Schott, G. Stacey Staples
EJC
2006
15 years 6 months ago
An iterative-bijective approach to generalizations of Schur's theorem
Abstract. We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colo...
Sylvie Corteel, Jeremy Lovejoy
DM
2007
97views more  DM 2007»
15 years 6 months ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
JUCS
2008
139views more  JUCS 2008»
15 years 6 months ago
Constructive Notions of Maximality for Ideals
: Working constructively, we discuss two types of maximality for ideals in a commutative ring with identity, showing also that the results are the best possible. Key Words: constru...
Douglas S. Bridges, Robin Havea
APPML
2004
84views more  APPML 2004»
15 years 6 months ago
Renormalization group methods for nonlinear parabolic equations
ABSTRACT.Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher ...
H. Merdan, G. Caginalp