The arity gap of order-preserving functions and extensions of pseudo-Boolean functions
From MaRDI portal
Publication:412326
DOI10.1016/j.dam.2011.07.024zbMath1246.06005arXiv1003.2192OpenAlexW1972195584MaRDI QIDQ412326
Tamás Waldhauser, Miguel Couceiro, Erkko Lehtonen
Publication date: 4 May 2012
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.2192
Boolean programming (90C09) Boolean functions (06E30) Operations and polynomials in algebraic structures, primal algebras (08A40)
Related Items (3)
Parametrized arity gap ⋮ ADDITIVE DECOMPOSABILITY OF FUNCTIONS OVER ABELIAN GROUPS ⋮ Hypomorphic Sperner systems and non-reconstructible functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decompositions of functions based on arity gap
- Descending chains and antichains of the unary, linear, and monotone subfunction relations
- On a quasi-ordering on Boolean functions
- Equivalence of operations with respect to discriminator clones
- Generalizations of Świerczkowski's lemma and the arity gap of finite functions
- A theory of fuzzy measures: Representations, the Choquet integral, and null sets
- The forbidden projections of unate functions
- Galois theory for minors of finite functions
- Boolean minors
- Essential arities of term operations in finite algebras
- Equational characterizations of Boolean function classes
- Characterizations of closed classes of Boolean functions in terms of forbidden subfunctions and Post classes
- ON THE EFFECT OF VARIABLE IDENTIFICATION ON THE ESSENTIAL ARITY OF FUNCTIONS ON FINITE SETS
- Extensions of functions of 0-1 variables and applications to combinatorial optimization
- On the Number of Operations in a Clone
- On the lattice of equational classes of Boolean functions and its closed intervals
- Multilinear Extensions of Games
This page was built for publication: The arity gap of order-preserving functions and extensions of pseudo-Boolean functions
