Fractional domination and fractional total domination on Cayley digraphs of transformation semigroups with fixed sets

For a set $ X $ and a nonempty subset $ Y $ of $ X $, denote by $ T(X) $ the full transformation semigroup under the composition whose elements are functions on $ X $. Let $ Fix(X, Y) $ be the subsemigroup of $ T(X) $ containing functions $ \alpha\in T(X) $ in which each element in $ Y $ is a fixed...

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Bibliographic Details
Main Authors: Nuttawoot Nupo, Chollawat Pookpienlert
Format: Article
Language:English
Published: AIMS Press 2024-04-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024708?viewType=HTML