Closure operators associated with networks

Authors : Josef V{S}LAPAL, John L PFALTZ

Pages : 91-101

View : 22 | Download : 9

Publication Date : 2017-02-01

Article Type : Research Paper

Abstract :We study network insert ignore into journalissuearticles values(i.e., undirected simple graph); structures by investigating associated closure operators and the corresponding closed sets. To describe the dynamic behavior of networks, we employ continuous transformations and neighborhood homomorphisms between them. These transformations and homomorphisms are then studied. In particular, the problem of preserving generators by continuous transformations and that of preserving minimal dominating sets by neighborhood homomorphisms are dealt with.
Keywords : Network, Closure operator, Transformation