On Schatten p-norm of the distance matrices of graphs (Journal Article) (Record no. 45407)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 01444nam a22001937a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240205115629.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240205b ||||| |||| 00| 0 eng d |
| 022 ## - INTERNATIONAL STANDARD SERIAL NUMBER | |
| ISSN | 0019-5588 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Rather, Bilal Ahmad |
| 245 ## - TITLE STATEMENT | |
| Title | On Schatten p-norm of the distance matrices of graphs (Journal Article) |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Delhi |
| Name of publisher | :Indian National Science Academy | Springer |
| Year of publication | ,2023 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 10112-1024p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Indian Journal of Pure and Applied Mathematics |
| Volume number/sequential designation | , Volume 54: Number 4, December 2023 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | ***______{For Hard Copy, Please visit Library.}________***<br/><br/><br/> |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Distance matrix| Distance Laplacian matrix| Distance Signless Laplacian matrix| D matrix| Schatten p-norm| Ky Fan k norm |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/s13226-022-00317-7 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Periodicals |
| Lost status | Damaged status | Home library | Current library | Date acquired | Koha item type |
|---|---|---|---|---|---|
| RIE BPL Library | RIE BPL Library | 05.02.2024 | Periodicals |