TY  - BOOK
AU  - Rather, Bilal Ahmad  
TI  - On Schatten p-norm of the distance matrices of graphs (Journal Article)
SN  - 0019-5588
PY  - 2023///
CY  - New Delhi
PB  - :Indian National Science Academy | Springer
KW  - Distance matrix| Distance Laplacian matrix| Distance Signless Laplacian matrix| D matrix| Schatten p-norm| Ky Fan k norm
N1  - ***______{For Hard Copy, Please visit Library.}________***



N2  - 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 
, 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
UR  - https://doi.org/10.1007/s13226-022-00317-7
ER  -