Mahalanobis’ D-square (D2) statistics was applied to assess diversity in the 9 genotypes collectedof semi-arid region of India (7 genotypes from Gujarat and Rajasthan for normal toxic and two fromOrissa csmcri’s plantation of non toxic nature. These genotypes were grouped into five. Cluster I andIII had two genotypes, cluster II had three genotypes and cluster VI and V contributed as solitaryge...

In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers for the spectral norms and the largest eigenvalues of the adjacency and the Laplacian matrices; (ii) under some further independent conditions, the normalized largest eigenvalues of the Laplacian matrices are dense in a compact interval ...

In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that (i) the law of large numbers for the spectral norms and the largest eigenvalues of the adjacency and the Laplacian matrices; (ii) under some further independent conditions, the normalized largest eigenvalues of the Laplacian matrices are dense in a compact interval a...