University of KashanIranian Journal of Mathematical Chemistry2228-648911120200330Kato's chaos and P-chaos of a coupled lattice system given by Garcia Guirao and Lampart which is related with Belusov-Zhabotinskii reaction1910261110.22052/ijmc.2020.148532.1390ENRisongLiGuangdong Ocean UniversityJournal Article20180912In this article, we further consider the above system. In particular, we give a sufficient condition under which the above system is Kato chaotic for $eta=0$ and a necessary condition for the above system to be Kato chaotic for $eta=0$. Moreover, it is deduced that for $eta=0$, if $Theta$ is P-chaotic then so is this system, where a continuous map $Theta$ from a compact metric space $Z$ to itself is said to be P-chaotic if it has the pseudo-orbit-tracing property and the closure of the set of all periodic points for $Theta$ is the space $Z$. Also, an example and three open problems are presented.University of KashanIranian Journal of Mathematical Chemistry2228-648911120200330On Topological Indices Of the n-Star Graph111610286310.22052/ijmc.2020.174205.1429ENNegurKaramzadehDepartment of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, IranMohammad RezaDarafshehUniversity of TehranJournal Article20190306The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈<br /> {1, 2, ..., n}, ui ne uj and i ne j, where edges are of the form (u1,u2,...,un) ∼ (ui,u2,...,un), for some i ne 1. In this paper we will show that Sn is a vertex and edge transitive graph and discuss<br /> some topological properties of Sn.