期刊名称:International Journal of Innovative Research in Science, Engineering and Technology
印刷版ISSN:2347-6710
电子版ISSN:2319-8753
出版年度:2018
卷号:7
期号:1
页码:362
DOI:10.15680/IJIRSET.2018.0701062
出版社:S&S Publications
摘要:In this paper we introduce the concept of family of disjoint sets as a concept in set theory and introducesome theorems related to this concept, we also provide examples and applications.The four colours problem is aproblem in graph theory, in this paper we introduce four colours problem as an application offamily of disjoint sets.Families of disjoint sets explain four colours problem as an example ofm colours problem. Using families of disjointsets we can explain any familiar map or unfamiliar map with any number of colours used to draw these maps.
关键词:family of disjoint sets; degree of intersection; standard of meeting; local maximum; local minimum.