Bounds for the Index of the Centre in Capable Groups

Some properties of n-capable and n-perfect groups

In this article we introduce the notion of n-capable groups. It is shown that every group G admits a uniquely determined subgroup (〖Z^n)〗^* (G) which is a characteristic subgroup and lies in the n-centre subgroup of the group G. This is the smallest subgroup of G whose factor group is n-capable. Moreover, some properties of n-central extension will be studied.

Bounds for the Co-PI index of a graph

In this paper, we present some inequalities for the Co-PI index involving the some topological indices, the number of vertices and edges, and the maximum degree. After that, we give a result for trees. In addition, we give some inequalities for the largest eigenvalue of the Co-PI matrix of G.

Bounds on First Reformulated Zagreb Index of Graph

The first reformulated Zagreb index $EM_1(G)$ of a simple graph $G$ is defined as the sum of the terms $(d_u+d_v-2)^2$ over all edges $uv$ of $G .$ In this paper, the various upper and lower bounds for the first reformulated Zagreb index of a connected graph interms of other topological indices are obtained.

Some Lower Bounds for Estrada Index

The Effects of Openness and Globalization on Inflation: An ARDL Bounds Test Approach

Abstract The purpose of this paper is to test the hypothesis first proposed by Romer (1993); suggesting that inflation is lower in more open economies. According to this hypothesis, central banks have a lower incentive to engineer surprise inflations in more-open economies because the Phillips curve is steeper. Furthermore, Comparing with other empirical studies, this paper has used the new KOF...