Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
The Shannon function of the complexity of interval search on the Boolean cube in the class of trees
-
T. D. Blaivas
Veröffentlicht/Copyright:
1. Juli 2006
For the problem of interval search on the Boolean cube, we investigate the behaviour of the Shannon function in the class of tree-like circuits called information trees. It is shown that for databases of cardinality coinciding in order with cardinality of the Boolean cube the Shannon function is equal in order to the optimal complexity in the class of balanced tree-like circuits. For databases of cardinality less in order than the cardinality of the Boolean cube we give the asymptotics of the logarithm of the Shannon function.
Published Online: 2006-07-01
Published in Print: 2006-07-01
Copyright 2006, Walter de Gruyter
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Estimates of the Cameron–Erdős constants
- Connection between Markov chains on finite simple groups and fundamental groups
- On automaton determinisation of sets of superwords
- Degeneracy bounds for private information retrieval protocols
- The Shannon function of the complexity of interval search on the Boolean cube in the class of trees
- On the distribution of the number of ones in a Boolean Pascal's triangle
- On a number triangle
- On the critical Ω-foliated formations of finite groups
- Algebraic lattices of multiply Ω-foliated Fitting classes
- Properties of the lattice of all multiply Ω-canonical formations
Artikel in diesem Heft
- Estimates of the Cameron–Erdős constants
- Connection between Markov chains on finite simple groups and fundamental groups
- On automaton determinisation of sets of superwords
- Degeneracy bounds for private information retrieval protocols
- The Shannon function of the complexity of interval search on the Boolean cube in the class of trees
- On the distribution of the number of ones in a Boolean Pascal's triangle
- On a number triangle
- On the critical Ω-foliated formations of finite groups
- Algebraic lattices of multiply Ω-foliated Fitting classes
- Properties of the lattice of all multiply Ω-canonical formations
