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Endomorphism Type of P (3 m + 1,3)

Author

Listed:
  • Rui Gu

    (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)

Abstract

There are six different classes of endomorphisms for a graph. The sets of these endomorphisms always form a chain under the inclusion of sets. In order to study these different endomorphisms more systematically, Böttcher and Knauer proposed the concept of the endomorphism type of a graph in 1992. In this paper, we explore the six different classes of endomorphisms of graph P ( 3 m + 1 , 3 ) . In particular, the endomorphism type of P ( 3 m + 1 , 3 ) is given.

Suggested Citation

  • Rui Gu & Hailong Hou, 2023. "Endomorphism Type of P (3 m + 1,3)," Mathematics, MDPI, vol. 11(11), pages 1-6, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2520-:d:1160058
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    References listed on IDEAS

    as
    1. Rui Gu & Hailong Hou, 2020. "Unicyclic Graphs Whose Completely Regular Endomorphisms form a Monoid," Mathematics, MDPI, vol. 8(2), pages 1-8, February.
    2. Mengdi Tong & Hailong Hou, 2020. "Endomorphism Spectra of Double Fan Graphs," Mathematics, MDPI, vol. 8(6), pages 1-10, June.
    Full references (including those not matched with items on IDEAS)

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