Examples of combinatorics

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In what follows, we shall sometimes make use of terms commonly used in the area of combinatorics on words.
A standard approach to analyze these concerns emphasizes combinatorics by considering different combinations of voters preferences.
If two tiling systems have identical combinatorics, then the tiling spaces are homeomorphic, but their dynamical properties may differ.
The existence and the combinatorics of the partitions is solely determined by the rotation set of the diffeomorphism.
We present a general algebraic technique and discuss some of its numerous applications in combinatorial number theory, in graph theory and in combinatorics.
Nothing needs to be changed about the combinatorics to give the propositional reading.
In the one-dimensional case the semi-conjugacy result provides all the combinatorics which are necessary.
Although this leads to the creation of unbounded combinatorics, the essential geometry of these maps remains bounded away from zero.
We expect to use the techniques from this paper to prove the corresponding statement for unimodal maps with essentially bounded combinatorics.
The classification of renormalization limits for bounded combinatorics holds for a more general class of maps.
If the factors in its expansion are bounded then the map has bounded combinatorics and has unbounded combinatorics otherwise.
Moreover, he demonstrated the realizability and rigidity of abstract combinatorics.
Many logic programs that were proposed as encodings of problems in planning, model checking and combinatorics become propositional 2- or 3-programs after grounding.
Although our approach is quite different from growing trees, both of these approaches are similar in that they mostly use combinatorics and topology.
The interface between combinatorics and statistical mechanics provided by these polynomials has yielded progress in both areas.
We review the development of this approach and show how strong constraints can be derived using ideas from polyhedral combinatorics.
This in turn is a piece of standard combinatorics supplemented by inequality (3).
It admits many other simple descriptions and serves as a typical example for various objects, in combinatorics, number theory, symbolic dynamics and geometry.
This leads to a picture of extremal combinatorics as a huge rag-bag of results with no connecting themes.

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