Discrete Analog of the Jacobi Set for Vector Fields

  • A. N. Adilkhanov
  • A. V. PavlovEmail author
  • I. A. Taimanov
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11382)


The Jacobi set is a useful descriptor of mutual behavior of functions defined on a common domain. We introduce the piecewise linear Jacobi set for general vector fields on simplicial complexes. This definition generalizes the definition of the Jacobi set for gradients of functions introduced by Edelsbrunner and Harer.


Jacobi set Vector fields Simplicial complex 


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Authors and Affiliations

  • A. N. Adilkhanov
    • 1
  • A. V. Pavlov
    • 2
    Email author
  • I. A. Taimanov
    • 3
  1. 1.National Laboratory “Astana”Nazarbayev UniversityAstanaRepublic of Kazakhstan
  2. 2.North-Eastern Federal UniversityYakutskRussia
  3. 3.Sobolev Institute of MathematicsNovosibirsk State UniversityNovosibirskRussia

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