A formula for the number of weak endomorphisms on paths

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.

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Bibliographic Details
Date:2019
Main Authors: Knauer, Ulrich, Pipattanajinda, Nirutt
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2019
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/349
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary: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.