图的强自同态幺半群的本原幂等元

数学季刊 ›› 1997, Vol. 12 ›› Issue (4): 20-26.

图的强自同态幺半群的本原幂等元

Department of Mathematics,Shanghai Jiaotong University,Shanghai,200240

收稿日期:1995-12-08 出版日期:1997-12-30 发布日期:2024-11-13

On Primitive Idempotents of the Strong Endomorphism Monoid of a Graph

Department of Mathematics,Shanghai Jiaotong University,Shanghai,200240

Received:1995-12-08 Online:1997-12-30 Published:2024-11-13

摘要/Abstract

摘要： In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinatorics. The number of them is also given.

关键词: strong endomorphism, primitive idempotent, monoid, graph

Abstract: In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinatorics. The number of them is also given.

Key words: strong endomorphism, primitive idempotent, monoid, graph

中图分类号:

O157.5

李为民 . 图的强自同态幺半群的本原幂等元[J]. 数学季刊, 1997, 12(4): 20-26.

Li Weimin. On Primitive Idempotents of the Strong Endomorphism Monoid of a Graph[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(4): 20-26.

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