Co-intersection graph of subacts of an act

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JART-10-2_001

تاریخ نمایه سازی: 21 تیر 1403

Abstract:

In this paper, we define the co-intersection graph G(A) of an \(S\)-act \(A\) which is a graph whose vertices are non-trivial subacts of \(A\) and two  distinct  vertices \(B_۱\) and \( B_۲\) are adjacent if \(B_۱ \cup B_۲\neq A\).  We investigate the relationship between the algebraic properties of an  \(S\)-act \(A\) and the properties of the graph G(A).

Authors

A. Delfan

Department of Mathematics, Khorramabad Branch, Islamic Azad University, Iran

H. Rasouli

Department of Mathematics, Science and Research Branch , Islamic Azad University, Tehran, Iran

K. Moradipour

Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran