On partial endomorphisms of a star graph

被引：0
|
作者：
Dimitrova, Ilinka [1 ]
Fernandes, Vitor H. [2 ,3 ]
Koppitz, Jorg [4 ]
机构：
[1] South West Univ Neofit Rilski, Fac Math & Nat Sci, Dept Math, Blagoevgrad 2700, Bulgaria
[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Ctr Math & Applicat NOVA Math, P-2829516 Caparica, Portugal
[3] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Math, P-2829516 Caparica, Portugal
[4] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria
来源：
QUAESTIONES MATHEMATICAE | 2024年
关键词：
Transformations; partial endomorphisms; star graphs; rank;
D O I：
10.2989/16073606.2024.2374796
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms and of all partial strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to determine their ranks. We also describe their Green's relations, calculate their cardinalities and study their regularity.
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页数：21
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