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COMBINATORICS
2004
127views more  COMBINATORICS 2004»
13 years 5 months ago
On the Associative Nijenhuis Relation
We give the construction of a free commutative unital associative Nijenhuis algebra on a commutative unital associative algebra based on an augmented modified quasi-shuffle produc...
Kurusch Ebrahimi-Fard
COCOON
2010
Springer
13 years 10 months ago
Exact and Approximation Algorithms for Geometric and Capacitated Set Cover Problems
Piotr Berman, Marek Karpinski, Andrzej Lingas
CDC
2009
IEEE
143views Control Systems» more  CDC 2009»
13 years 10 months ago
Control interpretations of products in the Hopf algebra
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
Matthias Kawski
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
13 years 5 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman