In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...

The second Zagreb coindex is a well-known graph invariant defined as the total degree product of all non-adjacent vertex pairs in a graph. The second Zagreb eccentricity coindex is defined analogously to the second Zagreb coindex by replacing the vertex degrees with the vertex eccentricities. In this paper, we present exact expressions or sharp lower bounds for the second Zagreb eccentricity co...

Abstract We study the statistical property of fast radio bursts (FRBs) based on a selected sample 190 one-off FRBs in first CHIME/FRB catalog. Three power law models are used analysis, and we find cumulative distribution functions energy can be well fitted by bent thresholded models. The fluctuations follow Tsallis q -Gaussian distribution. values constant with small for different temporal scal...

The present study has applied a time-invariant fuzzy time series model for maize Production in India. Most of the data is forecasted using AR and ARIMA models but considered Chen to understand endeavour forecast. Generally, are based on uncertainty, non-probabilistic linguistic variables. production India during 1951-2020 was divided into seven subsets. subsets equal intervals. Chen's used arit...

Abstract Extracting a proper dynamic network for modeling time-dependent complex system is an important issue. Building correct model related to finding out critical time points where exhibits considerable change. In this work, we propose measure similarity detect intervals. We develop three metrics, node, link, and neighborhood similarities, any consecutive snapshots of network. Rather than la...

Abstract We introduce an index for symmetry-protected topological (SPT) phases of infinite fermionic chains with on-site symmetry given by a finite group G . This takes values in $\mathbb {Z}_2 \times H^1(G,\mathbb {Z}_2) H^2(G, U(1)_{\mathfrak {p}})$ generalised Wall law under stacking. show that this is invariant the classification SPT phases. When ground state translation and has reduced den...