正则图的最小支配集的代数方法

IF 0.4 Q4 MATHEMATICS

Electronic Journal of Graph Theory and Applications Pub Date : 2023-10-24 DOI:10.5614/ejgta.2023.11.2.5

Mehrdad Nasernejad

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引用次数: 0

摘要

设V ={1，…，n}是包含n个元素的非空集合，S = {s1，…，m}是包含V的m个非空子集的非空集合。本文利用交换代数中的一些代数概念，研究了是否存在一个无向有限简单图G，且V (G)= V，其中S是其元素为G的最小支配集的集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An algebraic approach to sets defining minimal dominating sets of regular graphs

Suppose that V = {1, …, n } is a non-empty set of n elements, S = { S 1 , …, S m } a non-empty set of m non-empty subsets of V . In this paper, by using some algebraic notions in commutative algebra, we investigate the question arises whether there exists an undirected finite simple graph G with V ( G )= V , where S is the set whose elements are the minimal dominating sets of G .

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来源期刊

Electronic Journal of Graph Theory and Applications MATHEMATICS-

CiteScore

1.20

自引率

28.60%

发文量

审稿时长

52 weeks

期刊介绍： We publish research articles written in English in all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences.