Counting Problems That Involve Symmetry

  • Anthony Mendes
  • Jeffrey Remmel
Part of the Developments in Mathematics book series (DEVM, volume 43)


Symmetric functions are used to prove Pólya’s enumeration theorem, allowing us to count objects modulo symmetries.


Transition Matrix Symmetric Function Young Diagram Counting Problem Cycle Index 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Anthony Mendes
    • 1
  • Jeffrey Remmel
    • 2
  1. 1.Mathematics DepartmentCalifornia Polytechnic State UniversitySan Luis ObispoUSA
  2. 2.Department of MathematicsUniversity of California at San DiegoLa JollaUSA

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