Endomorphism Spectra of Double-Edge Fan Graphs

Kaidi Xu, Hailong Hou () and Yu Li
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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

Mathematics, 2023, vol. 11, issue 14, 1-11

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.

Keywords: endomorphism; endomorphism spectrum; endomorphism type; double-edge fan graph (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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