Chaotic Graph on the Sphere
S. Nada *
Mathematics Department, Faculty of Science, Menoufia University, Sheben El Kohm, Egypt.
E. El-Shafey
Mathematics Department, Faculty of Science, Al- Azhar University, Cairo, Egypt.
*Author to whom correspondence should be addressed.
Abstract
Our aim in the present article is to introduce and study a new type of chaotic graphs, namely chaotic graph on a sphere .We describe them by using chaotic matrices. This article introduces some operations on the chaotic graphs such as union and intersection; also both of the chaotic incidence matrices and the chaotic adjacency matrices representing the chaotic graphs induced from these operations will be introduced. Theorems governing these studies are obtained. Some applications on chaotic graphs are given.
Keywords: Chaotic, graph, sphere