



摘要:設(shè)S是幺半群,M是S系,M的子系的交圖記為G(M).G(M)是簡單無向圖,它的頂點(diǎn)集由M的非平凡子系構(gòu)成,頂點(diǎn)集中任意不同的兩點(diǎn)是相鄰的當(dāng)且僅當(dāng)兩個(gè)非平凡子系不相交.研究了S系的子系交圖的完全性、連通性、直徑、圍長等性質(zhì).
關(guān)鍵詞:S系;連通性;完全性;交圖
中圖分類號:O 152.7文獻(xiàn)標(biāo)志碼:A文章編號:1001988Ⅹ(2025)02001004
Abstract:Let S be a monoid and M be an Sact.The subact intersection graph of M denoted by G(M),where G(M) is a simple undirected graph.The vertex set of G(M) consists of all nontrivial subacts of M,and any two distinct vertices are adjacent if and only if any two nontrivial subacts are disjoint.The completeness,connectivity,diameter and girth of the intersection graph of subacts of Sacts are discussed.
DOI:10.16783/j.cnki.nwnuz.2025.02.002
收稿日期:2024-12-22;修改稿收到日期:2025-02-22
基金項(xiàng)目:國家自然科學(xué)基金資助項(xiàng)目(12461003);甘肅省基礎(chǔ)研究創(chuàng)新群體項(xiàng)目(23JRRA684)
作者簡介:喬虎生(1974—),男,甘肅平?jīng)鋈耍淌冢┦浚┦垦芯可鷮?dǎo)師.主要研究方向?yàn)榘肴捍鷶?shù)理論.
E-mail:gsqiaohsh@163.com
*通信聯(lián)系人,陜西咸陽人,碩士研究生.主要研究方向?yàn)榘肴捍鷶?shù)理論.
E-mail:1792184952@qq.com