dominating subset and representation graph on topological spaces
Subject Areas : Statistics
1 - Department of Mathematics, Faculty Mathematics, Tafresh University, Tafresh, Iran.
Keywords: گراف اشتراکی, فضای توپولوژیک, احاطهگری,
Abstract :
Let a topological space. An intersection graph on a topological space , which denoted by , is an undirected graph which whose vertices are open subsets of and two vertices are adjacent if the intersection of them are nonempty. In this paper, the relation between topological properties of and graph properties of are investigated. Also some classifications and representations for the graph are introduced and at last some results about dominating sets on are explained.
