Chord diagram

Known as: Circos 
A chord diagram is a graphical method of displaying the inter-relationships between data in a matrix. The data is arranged radially around a circle… (More)
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2016
2016
Expansions of a Chord Diagram and Alternating Permutations
A chord diagram is a set of chords of a circle such that no pair of chords has a common endvertex. A chord diagram E with n… (More)
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2015
2015
A CHORD DIAGRAM OF A RIBBON SURFACE-LINK
A ribbon chord diagram, or simply a chord diagram, of a ribbon surfacelink in the 4-space is introduced. Links, virtual links and… (More)
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2014
2014
A chord diagram expansion coming from some Dyson–Schwinger equations
Dyson–Schwinger equations are integral equations in quantum field theory which have a recursive structure that mirrors the… (More)
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2011
2011
The Expected Genus of a Random Chord Diagram
To any generic curve in an oriented surface there corresponds an oriented chord diagram, and any oriented chord diagram may be… (More)
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2008
2008
Enumeration of chord diagrams
  • A. Khruzin
  • 2008
We determine the number of nonequivalent chord diagrams of order n under the action of two groups, C2n, a cyclic group of order… (More)
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2000
2000
Analytic Combinatorics of Chord Diagrams Analytic Combinatorics of Chord Diagrams Combinatoire Analytique Des Diagrammes De Cordes Analytic Combinatorics of Chord Diagrams
  • Marc NoyTh
  • 2000
In this paper we study the enumeration of diagrams of n chords joining 2n points on a circle in disjoint pairs. We establish… (More)
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2000
2000
On the number of chord diagrams
We present some combinatorial results in counting various kinds of s. c. chord diagrams. Latter are basic gadgets in the theory… (More)
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1998
1998
Chord Diagram Invariants of Tangles and Graphs
The notion of a chord diagram emerged from Vassiliev's work Vas90], Vas92] (see also Gusarov Gus91], Gus94] and Bar-Natan BN91… (More)
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1998
1998
Counting Non-Isomorphic Chord Diagrams
Different formulas counting families of non isomorphic chord diagrams are given : planar and toroidal ones and those of maximal… (More)
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1997
1997
QUANTIZATION OF THE ALGEBRA OF CHORD DIAGRAMS
In this paper we define an algebra structure on the vector space L(Σ) generated by links in the manifold Σ × [0, 1] where Σ is an… (More)
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