Rather, Bilal Ahmad   <br/><br/>
On Schatten p-norm of the distance matrices of graphs (Journal Article) 

 - New Delhi  :Indian National Science Academy | Springer  ,2023 
 - 10112-1024p. 
 - Indian Journal of Pure and Applied Mathematics  , Volume 54: Number 4, December 2023 .
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<br/><br/> Abstract: For a connected simple graph G, the generalized distance matrix is defined by, where Tr(G) is the diagonal matrix of vertex transmissions and D(G) is the distance matrix. For particular values of <br/>, we obtain the distance matrix, the distance Laplacian matrix and the distance signless Laplacian matrix and other uncountable distance based matrices. Let be the eigenvalues of G and a real number, the Schatten p-norm is the p-th root of the sum of p-th powers of eigenvalues of, that is. In this paper, we obtain various bounds for in terms of different graph parameters and characterize the corresponding extremal graphs. 
<br/><br/><label>ISSN: </label>0019-5588 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Distance matrix| Distance Laplacian matrix| Distance Signless Laplacian matrix| D matrix| Schatten p-norm| Ky Fan k norm