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The method of boundary functionals for non-regular structures
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T.V. Andreeva
Published/Copyright:
January 1, 2004
The method of boundary functionals suggested by A. A. Sapozhenko who applied it to a series of enumeration problems is successfully employed in the case of partially ordered sets with regular structure of the strata, for example, on the unit n-dimensional cube Bn. But partially ordered sets occurring in some problems, say, the three-valued n-dimensional lattice 
, do not possess a regular structure. In this paper, the method of boundary functionals is extended to the case of such sets and is used to find the asymptotic behaviour of the number of antichains in the three central strata of .
Published Online: 2004-01-01
Published in Print: 2004-01-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Andrei Andreevich Markov (to the centenary of the birth)
- Some classes of random mappings of finite sets and non-homogeneous branching processes
- The method of boundary functionals for non-regular structures
- A formula for the radius of stability of a vector l∞-extremal trajectory problem
- Solving systems of polynomial equations over Galois–Eisenstein rings with the use of the canonical generating systems of polynomial ideals
- Standard basis of a polynomial ideal over commutative Artinian chain ring
- On some systems of generators of symmetric and alternating groups which allow a simple software implementation
