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Endomorphism Spectra of Double-Edge Fan Graphs

Author

Listed:
  • Kaidi Xu

    (School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China)

  • Hailong Hou

    (School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China)

  • Yu Li

    (School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China)

Abstract

There are six classes of endomorphisms for a graph. The sets of these endomorphisms form a chain under the inclusion of sets. In order to systematically study these endomorphisms, Böttcher and Knauer defined the concepts of the endomorphism spectrum and endomorphism type of a graph in 1992. In this paper, based on the property and structure of the endomorphism monoids of graphs, six classes of endomorphisms of double-edge fan graphs are described. In particular, we give the endomorphism spectra and endomorphism types of double-edge fan graphs.

Suggested Citation

  • Kaidi Xu & Hailong Hou & Yu Li, 2023. "Endomorphism Spectra of Double-Edge Fan Graphs," Mathematics, MDPI, vol. 11(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3214-:d:1199755
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    References listed on IDEAS

    as
    1. Mengdi Tong & Hailong Hou, 2020. "Endomorphism Spectra of Double Fan Graphs," Mathematics, MDPI, vol. 8(6), pages 1-10, June.
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