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The Regularity of Some Families of Circulant Graphs

Author

Listed:
  • Miguel Eduardo Uribe-Paczka

    (Departamento de Matemáticas, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Mexico City 07300, Mexico)

  • Adam Van Tuyl

    (Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4L8, Canada)

Abstract

We compute the Castelnuovo–Mumford regularity of the edge ideals of two families of circulant graphs, which includes all cubic circulant graphs. A feature of our approach is to combine bounds on the regularity, the projective dimension, and the reduced Euler characteristic to derive an exact value for the regularity.

Suggested Citation

  • Miguel Eduardo Uribe-Paczka & Adam Van Tuyl, 2019. "The Regularity of Some Families of Circulant Graphs," Mathematics, MDPI, vol. 7(7), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:7:p:657-:d:250554
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