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EJC
2008
15 years 6 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
FSS
2008
117views more  FSS 2008»
15 years 6 months ago
(S, N)- and R-implications: A state-of-the-art survey
In this work we give a state-of-the-art review of two of the most established classes of fuzzy implications, viz., (S, N)- and R-implications. Firstly, we discuss their properties...
Michal Baczynski, Balasubramaniam Jayaram
COMBINATORICS
2006
144views more  COMBINATORICS 2006»
15 years 6 months ago
On an Identity for the Cycle Indices of Rooted Tree Automorphism Groups
This note deals with a formula due to G. Labelle for the summed cycle indices of all rooted trees, which resembles the well-known formula for the cycle index of the symmetric grou...
Stephan G. Wagner
IJAC
2008
58views more  IJAC 2008»
15 years 6 months ago
Symplectic Alternating Algebras
This paper begins the development of a theory of what we will call symplectic alternating algebras. They have arisen in the study of 2-Engel groups but seem also to be of interest...
Gunnar Traustason
CORR
2007
Springer
104views Education» more  CORR 2007»
15 years 6 months ago
The Parameter-Less Self-Organizing Map algorithm
—The parameterless self-organizing map (PLSOM) is a new neural network algorithm based on the self-organizing map (SOM). It eliminates the need for a learning rate and annealing ...
Erik Berglund, Joaquin Sitte