01444nam a22001937a 4500 20240205115629.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Rather, Bilal Ahmad 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 ***______{For Hard Copy, Please visit Library.}________*** 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. Distance matrix| Distance Laplacian matrix| Distance Signless Laplacian matrix| D matrix| Schatten p-norm| Ky Fan k norm https://doi.org/10.1007/s13226-022-00317-7 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45407 45406