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On the distribution of some characteristics of a quasimonotone mapping
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M. I. Tolovikov
Published/Copyright:
January 7, 2011
Abstract
We consider a mapping of a discrete circle into itself preserving the order inside triples of points. We describe the structure of the graph of the mapping and investigate the distributions of the number and lengths of its cycles.
Received: 2008-10-15
Published Online: 2011-01-07
Published in Print: 2010-December
© de Gruyter 2010
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Articles in the same Issue
- Bounds for the number of Boolean functions admitting affine approximations of a given accuracy
- Identification of a binary Markov chain of order s with r partial connections subjected to additive distortions
- On conditional Internet graphs whose vertex degrees have no mathematical expectation
- An estimate of the probability of localisation of the diameter of a random scale-free graph
- On a recursive class of plateaued Boolean functions
- On the distribution of some characteristics of a quasimonotone mapping
- The expressibility problem in a lattice with closure operation
- An algorithm to restore a linear recurring sequence over the ring R = Zpn from a linear complication of its highest coordinate sequence
- The uniform id-decomposition of functions of many-valued logic over homogeneous functions
- The completeness problem in the function algebra of linear integer-coefficient polynomials
- Circuits for disjunction admitting short unitary diagnostic tests
- The group of automorphisms of the set of bent functions
- Complexity of multiplication in commutative group algebras over fields of prime characteristic
- The summation of Markov sequences on a finite abelian group
- The asymptotics of the number of repetition-free Boolean functions in the basis B1
