The present paper provides a remedy for improved estimation of population mean of a study
variable, using the information related to an auxiliary variable in the situations under Simple
Random Sampling Scheme. We suggest a new class of estimators of population mean and
the Bias and MSE of the class are derived upto the first order of approximation. The least
value of the MSE for the suggested class of estimators is also obtained for the optimum
value of the characterizing scaler. The MSE has also been compared with the considered …

With this article in mind, we have found some results using eigenvalues of graph with sign. It
is intriguing to note that these results help us to find the determinant of Normalized
Laplacian matrix of signed graph and their coefficients of characteristic polynomial using the
number of vertices. Also we found bounds for the lowest value of eigenvalue.