Посилання:A formula for the number of weak endomorphisms on paths / U. Knauer, N. Pipattanajinda // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 270–279. — Бібліогр.: 5 назв. — англ.
Підтримка:The authors would like to thank Prof. Dr. Srichan Arworn for the help and the encouragement that she provided in the preparation of this paper. The work was partially supported by the Research and Development Institute and the Faculty of Sciences and Technology, Kamphaeng Phet Rajabhat University, Kamphaeng Phet, Thailand.
A weak endomorphisms of a graph is a mapping on the vertex set of the graph which preserves or contracts edges. In this paper we provide a formula to determine the cardinalities of weak endomorphism monoids of finite undirected paths.